556976893824 has 384 divisors, whose sum is σ = 1831687603200. Its totient is φ = 161142018048.

The previous prime is 556976893813. The next prime is 556976893829. The reversal of 556976893824 is 428398679655.

It is a happy number.

556976893824 is a `hidden beast` number, since 5 + 569 + 7 + 6 + 8 + 9 + 38 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556976893829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20308729 + ... + 20336135.

It is an arithmetic number, because the mean of its divisors is an integer number (4770019800).

Almost surely, 2^556976893824 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 556976893824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915843801600).

556976893824 is an abundant number, since it is smaller than the sum of its proper divisors (1274710709376).

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

556976893824 is a wasteful number, since it uses less digits than its factorization.

556976893824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27522 (or 27507 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 556976893824 in words is "five hundred fifty-six billion, nine hundred seventy-six million, eight hundred ninety-three thousand, eight hundred twenty-four".