556620321600 has 756 divisors, whose sum is σ = 2422540036800. Its totient is φ = 120528414720.

The previous prime is 556620321599. The next prime is 556620321707. The reversal of 556620321600 is 6123026655.

It is a happy number.

556620321600 is a `hidden beast` number, since 5 + 5 + 6 + 6 + 20 + 3 + 21 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13385641 + ... + 13427159.

Almost surely, 2^556620321600 is an apocalyptic number.

556620321600 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 556620321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211270018400).

556620321600 is an abundant number, since it is smaller than the sum of its proper divisors (1865919715200).

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

556620321600 is a wasteful number, since it uses less digits than its factorization.

556620321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41580 (or 41555 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 556620321600 in words is "five hundred fifty-six billion, six hundred twenty million, three hundred twenty-one thousand, six hundred".