563016523680 has 720 divisors, whose sum is σ = 2278295218584. Its totient is φ = 130427781120.

The previous prime is 563016523673. The next prime is 563016523691. The reversal of 563016523680 is 86325610365.

563016523680 is a `hidden beast` number, since 5 + 6 + 30 + 16 + 523 + 6 + 80 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3231240336 + 559785283344 = 56844^2 + 748188^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37226520 + ... + 37241640.

Almost surely, 2^563016523680 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 563016523680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139147609292).

563016523680 is an abundant number, since it is smaller than the sum of its proper divisors (1715278694904).

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

563016523680 is a wasteful number, since it uses less digits than its factorization.

563016523680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15191 (or 15161 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 563016523680 in words is "five hundred sixty-three billion, sixteen million, five hundred twenty-three thousand, six hundred eighty".