556660662400 has 384 divisors, whose sum is σ = 1492147800000. Its totient is φ = 204513361920.

The previous prime is 556660662373. The next prime is 556660662461. The reversal of 556660662400 is 4266066655.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 389544886 + ... + 389546314.

Almost surely, 2^556660662400 is an apocalyptic number.

556660662400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556660662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746073900000).

556660662400 is an abundant number, since it is smaller than the sum of its proper divisors (935487137600).

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

556660662400 is a wasteful number, since it uses less digits than its factorization.

556660662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 46.

The spelling of 556660662400 in words is "five hundred fifty-six billion, six hundred sixty million, six hundred sixty-two thousand, four hundred".