563975284508640 has 336 divisors, whose sum is σ = 2006397126014400. Its totient is φ = 149736662332416.

The previous prime is 563975284508539. The next prime is 563975284508683. The reversal of 563975284508640 is 46805482579365.

563975284508640 is a `hidden beast` number, since 5 + 6 + 3 + 9 + 7 + 52 + 8 + 4 + 508 + 64 + 0 = 666.

It is a super-3 number, since 3×563975284508640³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 16153401 + ... + 37267719.

It is an arithmetic number, because the mean of its divisors is an integer number (5971420017900).

Almost surely, 2^{563975284508640} 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 563975284508640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003198563007200).

563975284508640 is an abundant number, since it is smaller than the sum of its proper divisors (1442421841505760).

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

563975284508640 is a wasteful number, since it uses less digits than its factorization.

563975284508640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21114581 (or 21114558 counting only the distinct ones).

The product of its (nonzero) digits is 1741824000, while the sum is 72.

The spelling of 563975284508640 in words is "five hundred sixty-three trillion, nine hundred seventy-five billion, two hundred eighty-four million, five hundred eight thousand, six hundred forty".