56377534464 has 480 divisors, whose sum is σ = 183293510400. Its totient is φ = 17199267840.

The previous prime is 56377534463. The next prime is 56377534481. The reversal of 56377534464 is 46443577365.

56377534464 is a `hidden beast` number, since 5 + 63 + 7 + 7 + 534 + 46 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56377534464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56377534463) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 97707744 + ... + 97708320.

It is an arithmetic number, because the mean of its divisors is an integer number (381861480).

Almost surely, 2^56377534464 is an apocalyptic number.

56377534464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56377534464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91646755200).

56377534464 is an abundant number, since it is smaller than the sum of its proper divisors (126915975936).

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

56377534464 is a wasteful number, since it uses less digits than its factorization.

56377534464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 632 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 56377534464 in words is "fifty-six billion, three hundred seventy-seven million, five hundred thirty-four thousand, four hundred sixty-four".