563464972800 has 1080 divisors, whose sum is σ = 2256217959996. Its totient is φ = 133807472640.

The previous prime is 563464972787. The next prime is 563464972831. The reversal of 563464972800 is 8279464365.

563464972800 is a `hidden beast` number, since 563 + 4 + 6 + 4 + 9 + 72 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 280764336384 + 282700636416 = 529872^2 + 531696^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 706982002 + ... + 706982798.

Almost surely, 2^563464972800 is an apocalyptic number.

563464972800 is a gapful number since it is divisible by the number (50) 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 563464972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128108979998).

563464972800 is an abundant number, since it is smaller than the sum of its proper divisors (1692752987196).

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

563464972800 is a wasteful number, since it uses less digits than its factorization.

563464972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 563464972800 in words is "five hundred sixty-three billion, four hundred sixty-four million, nine hundred seventy-two thousand, eight hundred".