556506720 has 576 divisors, whose sum is σ = 2482099200. Its totient is φ = 115153920.

The previous prime is 556506701. The next prime is 556506737. The reversal of 556506720 is 27605655.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2328361 + ... + 2328599.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^556506720 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 556506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241049600).

556506720 is an abundant number, since it is smaller than the sum of its proper divisors (1925592480).

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

556506720 is a wasteful number, since it uses less digits than its factorization.

556506720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 556506720 is about 23590.3946554525. The cubic root of 556506720 is about 822.5395785995.

The spelling of 556506720 in words is "five hundred fifty-six million, five hundred six thousand, seven hundred twenty".