56624768640 has 768 divisors, whose sum is σ = 222900387840. Its totient is φ = 13121740800.

The previous prime is 56624768591. The next prime is 56624768659. The reversal of 56624768640 is 4686742665.

56624768640 is a `hidden beast` number, since 5 + 6 + 624 + 7 + 6 + 8 + 6 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249448207 + ... + 249448433.

It is an arithmetic number, because the mean of its divisors is an integer number (290234880).

Almost surely, 2^56624768640 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 56624768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111450193920).

56624768640 is an abundant number, since it is smaller than the sum of its proper divisors (166275619200).

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

56624768640 is a wasteful number, since it uses less digits than its factorization.

56624768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 56624768640 in words is "fifty-six billion, six hundred twenty-four million, seven hundred sixty-eight thousand, six hundred forty".