556432526640 has 160 divisors (see below), whose sum is σ = 1791902310912. Its totient is φ = 142723840000.

The previous prime is 556432526623. The next prime is 556432526647. The reversal of 556432526640 is 46625234655.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 556432526640.

It is not an unprimeable number, because it can be changed into a prime (556432526647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300415 + ... + 1096865.

Almost surely, 2^556432526640 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 556432526640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895951155456).

556432526640 is an abundant number, since it is smaller than the sum of its proper divisors (1235469784272).

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

556432526640 is a wasteful number, since it uses less digits than its factorization.

556432526640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796579 (or 796573 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 556432526640 in words is "five hundred fifty-six billion, four hundred thirty-two million, five hundred twenty-six thousand, six hundred forty".