556676997120 has 784 divisors, whose sum is σ = 2033618906592. Its totient is φ = 146193776640.

The previous prime is 556676997103. The next prime is 556676997133. The reversal of 556676997120 is 21799676655.

556676997120 is a `hidden beast` number, since 5 + 566 + 7 + 69 + 9 + 7 + 1 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3075563430 + ... + 3075563610.

Almost surely, 2^556676997120 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 556676997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016809453296).

556676997120 is an abundant number, since it is smaller than the sum of its proper divisors (1476941909472).

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

556676997120 is an equidigital number, since it uses as much as digits as its factorization.

556676997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 556676997120 in words is "five hundred fifty-six billion, six hundred seventy-six million, nine hundred ninety-seven thousand, one hundred twenty".