56679649884 has 576 divisors, whose sum is σ = 187697502720. Its totient is φ = 14742051840.

The previous prime is 56679649883. The next prime is 56679649907. The reversal of 56679649884 is 48894697665.

56679649884 is a `hidden beast` number, since 5 + 66 + 79 + 6 + 498 + 8 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56679649883) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 682887307 + ... + 682887389.

It is an arithmetic number, because the mean of its divisors is an integer number (325863720).

Almost surely, 2^56679649884 is an apocalyptic number.

56679649884 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 56679649884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93848751360).

56679649884 is an abundant number, since it is smaller than the sum of its proper divisors (131017852836).

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

56679649884 is a wasteful number, since it uses less digits than its factorization.

56679649884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 129 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 56679649884 in words is "fifty-six billion, six hundred seventy-nine million, six hundred forty-nine thousand, eight hundred eighty-four".