56633746664 has 64 divisors (see below), whose sum is σ = 120956846400. Its totient is φ = 24622528000.

The previous prime is 56633746639. The next prime is 56633746681. The reversal of 56633746664 is 46664733665.

56633746664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56633746664² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169364 + ... + 376764.

It is an arithmetic number, because the mean of its divisors is an integer number (1889950725).

Almost surely, 2^56633746664 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 56633746664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60478423200).

56633746664 is an abundant number, since it is smaller than the sum of its proper divisors (64323099736).

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

56633746664 is a wasteful number, since it uses less digits than its factorization.

56633746664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207554 (or 207550 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 56.

The spelling of 56633746664 in words is "fifty-six billion, six hundred thirty-three million, seven hundred forty-six thousand, six hundred sixty-four".