56646696960 has 600 divisors, whose sum is σ = 229090568850. Its totient is φ = 12947816448.

The previous prime is 56646696929. The next prime is 56646696961. The reversal of 56646696960 is 6969664665.

56646696960 is a `hidden beast` number, since 56 + 6 + 466 + 9 + 69 + 60 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50982027264 + 5664669696 = 225792^2 + 75264^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (56646696961) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8092385277 + ... + 8092385283.

Almost surely, 2^56646696960 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 56646696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114545284425).

56646696960 is an abundant number, since it is smaller than the sum of its proper divisors (172443871890).

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

56646696960 is an frugal number, since it uses more digits than its factorization.

56646696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 56646696960 in words is "fifty-six billion, six hundred forty-six million, six hundred ninety-six thousand, nine hundred sixty".