8117563680 has 144 divisors (see below), whose sum is σ = 27731942784. Its totient is φ = 2162280960.

The previous prime is 8117563661. The next prime is 8117563723. The reversal of 8117563680 is 863657118.

8117563680 is a `hidden beast` number, since 8 + 1 + 1 + 7 + 5 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 1568457 + ... + 1573623.

It is an arithmetic number, because the mean of its divisors is an integer number (192582936).

Almost surely, 2^8117563680 is an apocalyptic number.

8117563680 is a gapful number since it is divisible by the number (80) 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 8117563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13865971392).

8117563680 is an abundant number, since it is smaller than the sum of its proper divisors (19614379104).

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

8117563680 is a wasteful number, since it uses less digits than its factorization.

8117563680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6279 (or 6268 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 8117563680 is about 90097.5231624044. The cubic root of 8117563680 is about 2009.7493709926.

The spelling of 8117563680 in words is "eight billion, one hundred seventeen million, five hundred sixty-three thousand, six hundred eighty".