56386464624 has 180 divisors, whose sum is σ = 183910052664. Its totient is φ = 16080374016.

The previous prime is 56386464593. The next prime is 56386464647. The reversal of 56386464624 is 42646468365.

56386464624 is a `hidden beast` number, since 5 + 6 + 3 + 8 + 6 + 4 + 6 + 4 + 624 = 666.

It is a super-2 number, since 2×56386464624² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3923019 + ... + 3937365.

Almost surely, 2^56386464624 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 56386464624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91955026332).

56386464624 is an abundant number, since it is smaller than the sum of its proper divisors (127523588040).

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

56386464624 is a wasteful number, since it uses less digits than its factorization.

56386464624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14932 (or 14916 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 56386464624 in words is "fifty-six billion, three hundred eighty-six million, four hundred sixty-four thousand, six hundred twenty-four".