556578482688 has 360 divisors, whose sum is σ = 1751414464800. Its totient is φ = 169678430208.

The previous prime is 556578482683. The next prime is 556578482731. The reversal of 556578482688 is 886284875655.

556578482688 is a `hidden beast` number, since 5 + 5 + 6 + 578 + 48 + 2 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (556578482683) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73627453 + ... + 73635011.

It is an arithmetic number, because the mean of its divisors is an integer number (4865040180).

Almost surely, 2^556578482688 is an apocalyptic number.

556578482688 is a gapful number since it is divisible by the number (58) 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 556578482688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875707232400).

556578482688 is an abundant number, since it is smaller than the sum of its proper divisors (1194835982112).

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

556578482688 is a wasteful number, since it uses less digits than its factorization.

556578482688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7660 (or 7612 counting only the distinct ones).

The product of its digits is 1032192000, while the sum is 72.

The spelling of 556578482688 in words is "five hundred fifty-six billion, five hundred seventy-eight million, four hundred eighty-two thousand, six hundred eighty-eight".