556321652064 has 240 divisors, whose sum is σ = 1705327303680. Its totient is φ = 177713637120.

The previous prime is 556321652059. The next prime is 556321652111. The reversal of 556321652064 is 460256123655.

556321652064 is a `hidden beast` number, since 5 + 5 + 63 + 2 + 1 + 6 + 520 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8242647 + ... + 8309865.

It is an arithmetic number, because the mean of its divisors is an integer number (7105530432).

Almost surely, 2^556321652064 is an apocalyptic number.

556321652064 is a gapful number since it is divisible by the number (54) 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 556321652064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852663651840).

556321652064 is an abundant number, since it is smaller than the sum of its proper divisors (1149005651616).

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

556321652064 is a wasteful number, since it uses less digits than its factorization.

556321652064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67375 (or 67358 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 556321652064 in words is "five hundred fifty-six billion, three hundred twenty-one million, six hundred fifty-two thousand, sixty-four".