563631264 has 192 divisors, whose sum is σ = 1925441280. Its totient is φ = 157040640.

The previous prime is 563631253. The next prime is 563631281. The reversal of 563631264 is 462136365.

563631264 is a `hidden beast` number, since 5 + 636 + 3 + 12 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246832 + ... + 249104.

It is an arithmetic number, because the mean of its divisors is an integer number (10028340).

Almost surely, 2^563631264 is an apocalyptic number.

563631264 is a gapful number since it is divisible by the number (54) 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 563631264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962720640).

563631264 is an abundant number, since it is smaller than the sum of its proper divisors (1361810016).

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

563631264 is a wasteful number, since it uses less digits than its factorization.

563631264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2326 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 563631264 is about 23740.9196115062. The cubic root of 563631264 is about 826.0348270565.

The spelling of 563631264 in words is "five hundred sixty-three million, six hundred thirty-one thousand, two hundred sixty-four".