6317563680 has 96 divisors (see below), whose sum is σ = 22111488000. Its totient is φ = 1684682496.

The previous prime is 6317563661. The next prime is 6317563697. The reversal of 6317563680 is 863657136.

6317563680 is a `hidden beast` number, since 6 + 3 + 1 + 7 + 5 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6317563680² = 79823221701710284800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 726880 + ... + 735519.

It is an arithmetic number, because the mean of its divisors is an integer number (230328000).

Almost surely, 2^6317563680 is an apocalyptic number.

6317563680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6317563680 is an abundant number, since it is smaller than the sum of its proper divisors (15793924320).

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

6317563680 is a wasteful number, since it uses less digits than its factorization.

6317563680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462423 (or 1462409 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 6317563680 is about 79483.1031100321. The cubic root of 6317563680 is about 1848.6294870199.

The spelling of 6317563680 in words is "six billion, three hundred seventeen million, five hundred sixty-three thousand, six hundred eighty".