56735736816672 has 72 divisors (see below), whose sum is σ = 161709774145920. Its totient is φ = 18868832703360.

The previous prime is 56735736816667. The next prime is 56735736816701. The reversal of 56735736816672 is 27661863753765.

56735736816672 is a `hidden beast` number, since 5 + 6 + 7 + 35 + 7 + 368 + 166 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 56735736816672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 224246104 + ... + 224498967.

It is an arithmetic number, because the mean of its divisors is an integer number (2245969085360).

Almost surely, 2^{56735736816672} is an apocalyptic number.

It is an amenable number.

56735736816672 is an abundant number, since it is smaller than the sum of its proper divisors (104974037329248).

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

56735736816672 is a wasteful number, since it uses less digits than its factorization.

56735736816672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448745526 (or 448745515 counting only the distinct ones).

The product of its digits is 1600300800, while the sum is 72.

The spelling of 56735736816672 in words is "fifty-six trillion, seven hundred thirty-five billion, seven hundred thirty-six million, eight hundred sixteen thousand, six hundred seventy-two".