56646424800 has 432 divisors, whose sum is σ = 228720360960. Its totient is φ = 12923089920.

The previous prime is 56646424777. The next prime is 56646424823. The reversal of 56646424800 is 842464665.

56646424800 is a `hidden beast` number, since 56 + 64 + 64 + 2 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (56646424777) and next prime (56646424823).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46316989 + ... + 46318211.

It is an arithmetic number, because the mean of its divisors is an integer number (529445280).

Almost surely, 2^56646424800 is an apocalyptic number.

56646424800 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 56646424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114360180480).

56646424800 is an abundant number, since it is smaller than the sum of its proper divisors (172073936160).

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

56646424800 is a wasteful number, since it uses less digits than its factorization.

56646424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 56646424800 in words is "fifty-six billion, six hundred forty-six million, four hundred twenty-four thousand, eight hundred".