4845273664 has 189 divisors, whose sum is σ = 12403584921. Its totient is φ = 1871063040.

The previous prime is 4845273637. The next prime is 4845273677. The reversal of 4845273664 is 4663725484.

The square root of 4845273664 is 69608.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 85377600 + 4759896064 = 9240^2 + 68992^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42878472 + ... + 42878584.

Almost surely, 2^4845273664 is an apocalyptic number.

4845273664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4845273664 is the 69608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4845273664

4845273664 is an abundant number, since it is smaller than the sum of its proper divisors (7558311257).

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

4845273664 is a wasteful number, since it uses less digits than its factorization.

4845273664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 133 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 49.

The cubic root of 4845273664 is about 1692.1522552621.

Multiplying 4845273664 by its sum of digits (49), we get a square (237418409536 = 487256²).

4845273664 divided by its sum of digits (49) gives a square (98883136 = 9944²).

The spelling of 4845273664 in words is "four billion, eight hundred forty-five million, two hundred seventy-three thousand, six hundred sixty-four".