| Base | Representation |
|---|---|
| bin | 111011100110101100… |
| … | …101000000000000000 |
| 3 | 20010012021021212012101 |
| 4 | 323212230220000000 |
| 5 | 2022033000000000 |
| 6 | 45222354040144 |
| 7 | 4423660011166 |
| oct | 734654500000 |
| 9 | 203167255171 |
| 10 | 64000000000 |
| 11 | 25162371292 |
| 12 | 104a1579054 |
| 13 | 605c37b8b1 |
| 14 | 3151c07236 |
| 15 | 19e89c7e6a |
| hex | ee6b28000 |
64000000000 has 160 divisors (see below), whose sum is σ = 159997542210. Its totient is φ = 25600000000.
The previous prime is 63999999997. The next prime is 64000000013. The reversal of 64000000000 is 46.
The cubic root of 64000000000 is 4000.
It is a perfect power (a cube), and thus also a powerful number.
It can be written as a sum of positive squares in 5 ways, for example, as 60209381376 + 3790618624 = 245376^2 + 61568^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a nialpdrome in base 10.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 12799999998 + ... + 12800000002.
Almost surely, 264000000000 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 64000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79998771105).
64000000000 is an abundant number, since it is smaller than the sum of its proper divisors (95997542210).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
64000000000 is an frugal number, since it uses more digits than its factorization.
64000000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 75 (or 7 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 10.
Multiplying 64000000000 by its sum of digits (10), we get a square (640000000000 = 8000002).
64000000000 divided by its sum of digits (10) gives a square (6400000000 = 800002).
Adding to 64000000000 its reverse (46), we get a palindrome (64000000046).
The spelling of 64000000000 in words is "sixty-four billion", and thus it is an aban number and an eban number.
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