56642914656 has 192 divisors, whose sum is σ = 166812307200. Its totient is φ = 18698646528.

The previous prime is 56642914633. The next prime is 56642914663. The reversal of 56642914656 is 65641924665.

56642914656 is a `hidden beast` number, since 56 + 6 + 42 + 91 + 465 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47478796 + ... + 47479988.

It is an arithmetic number, because the mean of its divisors is an integer number (868814100).

Almost surely, 2^56642914656 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 56642914656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83406153600).

56642914656 is an abundant number, since it is smaller than the sum of its proper divisors (110169392544).

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

56642914656 is a wasteful number, since it uses less digits than its factorization.

56642914656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1684 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 56642914656 in words is "fifty-six billion, six hundred forty-two million, nine hundred fourteen thousand, six hundred fifty-six".