56684768220 has 384 divisors, whose sum is σ = 191339366400. Its totient is φ = 13888917504.

The previous prime is 56684768213. The next prime is 56684768233. The reversal of 56684768220 is 2286748665.

56684768220 is a `hidden beast` number, since 566 + 8 + 4 + 76 + 8 + 2 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 121380427 + ... + 121380893.

It is an arithmetic number, because the mean of its divisors is an integer number (498279600).

Almost surely, 2^56684768220 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 56684768220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95669683200).

56684768220 is an abundant number, since it is smaller than the sum of its proper divisors (134654598180).

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

56684768220 is a wasteful number, since it uses less digits than its factorization.

56684768220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 56684768220 in words is "fifty-six billion, six hundred eighty-four million, seven hundred sixty-eight thousand, two hundred twenty".