563647680 has 224 divisors, whose sum is σ = 2013508800. Its totient is φ = 148414464.

The previous prime is 563647657. The next prime is 563647687. The reversal of 563647680 is 86746365.

563647680 is a `hidden beast` number, since 5 + 636 + 4 + 7 + 6 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (563647687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 768594 + ... + 769326.

Almost surely, 2^563647680 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 563647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006754400).

563647680 is an abundant number, since it is smaller than the sum of its proper divisors (1449861120).

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

563647680 is a wasteful number, since it uses less digits than its factorization.

563647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 563647680 is about 23741.2653411734. The cubic root of 563647680 is about 826.0428465170.

The spelling of 563647680 in words is "five hundred sixty-three million, six hundred forty-seven thousand, six hundred eighty".