556908730560 has 1792 divisors, whose sum is σ = 2538308075520. Its totient is φ = 111795240960.

The previous prime is 556908730549. The next prime is 556908730583. The reversal of 556908730560 is 65037809655.

556908730560 is a `hidden beast` number, since 5 + 5 + 6 + 9 + 0 + 8 + 73 + 0 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 556908730497 and 556908730506.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1779260964 + ... + 1779261276.

It is an arithmetic number, because the mean of its divisors is an integer number (1416466560).

Almost surely, 2^556908730560 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 556908730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269154037760).

556908730560 is an abundant number, since it is smaller than the sum of its proper divisors (1981399344960).

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

556908730560 is a wasteful number, since it uses less digits than its factorization.

556908730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 556908730560 in words is "five hundred fifty-six billion, nine hundred eight million, seven hundred thirty thousand, five hundred sixty".