563976032256 has 1248 divisors, whose sum is σ = 2118074649600. Its totient is φ = 143582035968.

The previous prime is 563976032237. The next prime is 563976032293. The reversal of 563976032256 is 652230679365.

563976032256 is a `hidden beast` number, since 5 + 6 + 3 + 9 + 7 + 603 + 2 + 25 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7725699036 + ... + 7725699108.

It is an arithmetic number, because the mean of its divisors is an integer number (1697175200).

Almost surely, 2^563976032256 is an apocalyptic number.

563976032256 is a gapful number since it is divisible by the number (56) 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 563976032256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059037324800).

563976032256 is an abundant number, since it is smaller than the sum of its proper divisors (1554098617344).

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

563976032256 is a wasteful number, since it uses less digits than its factorization.

563976032256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 54.

The spelling of 563976032256 in words is "five hundred sixty-three billion, nine hundred seventy-six million, thirty-two thousand, two hundred fifty-six".