556328636640 has 768 divisors, whose sum is σ = 2480270284800. Its totient is φ = 113379803136.

The previous prime is 556328636627. The next prime is 556328636651. The reversal of 556328636640 is 46636823655.

556328636640 is a `hidden beast` number, since 5 + 563 + 2 + 8 + 6 + 36 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9739042 + ... + 9795998.

It is an arithmetic number, because the mean of its divisors is an integer number (3229518600).

Almost surely, 2^556328636640 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 556328636640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240135142400).

556328636640 is an abundant number, since it is smaller than the sum of its proper divisors (1923941648160).

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

556328636640 is a wasteful number, since it uses less digits than its factorization.

556328636640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57024 (or 57010 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 556328636640 in words is "five hundred fifty-six billion, three hundred twenty-eight million, six hundred thirty-six thousand, six hundred forty".