4759871616 has 288 divisors, whose sum is σ = 15072045300. Its totient is φ = 1441800192.

The previous prime is 4759871609. The next prime is 4759871617. The reversal of 4759871616 is 6161789574.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4759871616 is a `hidden beast` number, since 47 + 598 + 7 + 1 + 6 + 1 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2734871616 + 2025000000 = 52296^2 + 45000^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4759871617) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164133490 + ... + 164133518.

Almost surely, 2^4759871616 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 4759871616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7536022650).

4759871616 is an abundant number, since it is smaller than the sum of its proper divisors (10312173684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4759871616 is an equidigital number, since it uses as much as digits as its factorization.

4759871616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 51 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The square root of 4759871616 is about 68991.8228198096. The cubic root of 4759871616 is about 1682.1513934281.

The spelling of 4759871616 in words is "four billion, seven hundred fifty-nine million, eight hundred seventy-one thousand, six hundred sixteen".