56667624000 has 448 divisors, whose sum is σ = 208491978240. Its totient is φ = 13465804800.

The previous prime is 56667623989. The next prime is 56667624007. The reversal of 56667624000 is 42676665.

It is a super-2 number, since 2×56667624000² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (56667624007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9044869 + ... + 9051131.

It is an arithmetic number, because the mean of its divisors is an integer number (465383880).

Almost surely, 2^56667624000 is an apocalyptic number.

56667624000 is a gapful number since it is divisible by the number (50) 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 56667624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104245989120).

56667624000 is an abundant number, since it is smaller than the sum of its proper divisors (151824354240).

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

56667624000 is a wasteful number, since it uses less digits than its factorization.

56667624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6315 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 56667624000 in words is "fifty-six billion, six hundred sixty-seven million, six hundred twenty-four thousand".