563562324864 has 1536 divisors, whose sum is σ = 2268414720000. Its totient is φ = 132512808960.

The previous prime is 563562324851. The next prime is 563562324911. The reversal of 563562324864 is 468423265365.

It is a happy number.

563562324864 is a `hidden beast` number, since 5 + 6 + 3 + 5 + 623 + 2 + 4 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×563562324864² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 563562324864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2142822397 + ... + 2142822659.

It is an arithmetic number, because the mean of its divisors is an integer number (1476832500).

Almost surely, 2^563562324864 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 563562324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134207360000).

563562324864 is an abundant number, since it is smaller than the sum of its proper divisors (1704852395136).

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

563562324864 is a wasteful number, since it uses less digits than its factorization.

563562324864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 332 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 54.

The spelling of 563562324864 in words is "five hundred sixty-three billion, five hundred sixty-two million, three hundred twenty-four thousand, eight hundred sixty-four".