563280076800 has 1008 divisors, whose sum is σ = 2329308727200. Its totient is φ = 127449169920.

The previous prime is 563280076769. The next prime is 563280076813. The reversal of 563280076800 is 8670082365.

563280076800 is a `hidden beast` number, since 5 + 632 + 8 + 0 + 0 + 7 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1922457454 + ... + 1922457746.

It is an arithmetic number, because the mean of its divisors is an integer number (2310822150).

Almost surely, 2^563280076800 is an apocalyptic number.

563280076800 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 563280076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164654363600).

563280076800 is an abundant number, since it is smaller than the sum of its proper divisors (1766028650400).

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

563280076800 is a wasteful number, since it uses less digits than its factorization.

563280076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 563280076800 in words is "five hundred sixty-three billion, two hundred eighty million, seventy-six thousand, eight hundred".