56678862240 has 1920 divisors, whose sum is σ = 285475373568. Its totient is φ = 10192158720.

The previous prime is 56678862181. The next prime is 56678862259. The reversal of 56678862240 is 4226887665.

56678862240 is a `hidden beast` number, since 5 + 6 + 6 + 7 + 8 + 8 + 622 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 220540192 + ... + 220540448.

Almost surely, 2^56678862240 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 56678862240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142737686784).

56678862240 is an abundant number, since it is smaller than the sum of its proper divisors (228796511328).

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

56678862240 is a wasteful number, since it uses less digits than its factorization.

56678862240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 315 counting only the distinct ones).

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

The spelling of 56678862240 in words is "fifty-six billion, six hundred seventy-eight million, eight hundred sixty-two thousand, two hundred forty".