5304624768 has 256 divisors, whose sum is σ = 16424448000. Its totient is φ = 1683348480.

The previous prime is 5304624751. The next prime is 5304624797. The reversal of 5304624768 is 8674264035.

5304624768 is a `hidden beast` number, since 530 + 46 + 2 + 4 + 76 + 8 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7177743 + ... + 7178481.

It is an arithmetic number, because the mean of its divisors is an integer number (64158000).

Almost surely, 2^5304624768 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 5304624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8212224000).

5304624768 is an abundant number, since it is smaller than the sum of its proper divisors (11119823232).

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

5304624768 is a wasteful number, since it uses less digits than its factorization.

5304624768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 5304624768 is about 72832.8550037687. The cubic root of 5304624768 is about 1744.0203824456.

The spelling of 5304624768 in words is "five billion, three hundred four million, six hundred twenty-four thousand, seven hundred sixty-eight".