556468632720 has 1600 divisors, whose sum is σ = 2620087303680. Its totient is φ = 106584698880.

The previous prime is 556468632673. The next prime is 556468632737. The reversal of 556468632720 is 27236864655.

556468632720 is a `hidden beast` number, since 5 + 56 + 468 + 63 + 2 + 72 + 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, 784863726 + ... + 784864434.

Almost surely, 2^556468632720 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 556468632720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310043651840).

556468632720 is an abundant number, since it is smaller than the sum of its proper divisors (2063618670960).

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

556468632720 is a wasteful number, since it uses less digits than its factorization.

556468632720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 556468632720 in words is "five hundred fifty-six billion, four hundred sixty-eight million, six hundred thirty-two thousand, seven hundred twenty".