556757982432 has 96 divisors (see below), whose sum is σ = 1624792700160. Its totient is φ = 185481394560.

The previous prime is 556757982413. The next prime is 556757982437. The reversal of 556757982432 is 234289757655.

556757982432 is a `hidden beast` number, since 5 + 5 + 6 + 7 + 579 + 8 + 24 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 556757982432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556757982437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1359807 + ... + 1721217.

It is an arithmetic number, because the mean of its divisors is an integer number (16924923960).

Almost surely, 2^556757982432 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 556757982432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812396350080).

556757982432 is an abundant number, since it is smaller than the sum of its proper divisors (1068034717728).

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

556757982432 is a wasteful number, since it uses less digits than its factorization.

556757982432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363213 (or 363199 counting only the distinct ones).

The product of its digits is 127008000, while the sum is 63.

The spelling of 556757982432 in words is "five hundred fifty-six billion, seven hundred fifty-seven million, nine hundred eighty-two thousand, four hundred thirty-two".