56609376768 has 640 divisors, whose sum is σ = 200627159040. Its totient is φ = 15420948480.

The previous prime is 56609376751. The next prime is 56609376781. The reversal of 56609376768 is 86767390665.

56609376768 is a `hidden beast` number, since 566 + 0 + 9 + 3 + 7 + 6 + 7 + 68 = 666.

It is a super-2 number, since 2×56609376768² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338978221 + ... + 338978387.

It is an arithmetic number, because the mean of its divisors is an integer number (313479936).

Almost surely, 2^56609376768 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 56609376768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100313579520).

56609376768 is an abundant number, since it is smaller than the sum of its proper divisors (144017782272).

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

56609376768 is a wasteful number, since it uses less digits than its factorization.

56609376768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 56609376768 in words is "fifty-six billion, six hundred nine million, three hundred seventy-six thousand, seven hundred sixty-eight".