56824580736 has 384 divisors, whose sum is σ = 205807080960. Its totient is φ = 14619248640.

The previous prime is 56824580717. The next prime is 56824580737. The reversal of 56824580736 is 63708542865.

56824580736 is a `hidden beast` number, since 5 + 6 + 8 + 24 + 580 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (56824580737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9488335 + ... + 9494321.

It is an arithmetic number, because the mean of its divisors is an integer number (535955940).

Almost surely, 2^56824580736 is an apocalyptic number.

56824580736 is a gapful number since it is divisible by the number (56) 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 56824580736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102903540480).

56824580736 is an abundant number, since it is smaller than the sum of its proper divisors (148982500224).

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

56824580736 is a wasteful number, since it uses less digits than its factorization.

56824580736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6132 (or 6117 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 56824580736 in words is "fifty-six billion, eight hundred twenty-four million, five hundred eighty thousand, seven hundred thirty-six".