8179468560 has 160 divisors (see below), whose sum is σ = 29145456000. Its totient is φ = 2105961984.

The previous prime is 8179468523. The next prime is 8179468567. The reversal of 8179468560 is 658649718.

8179468560 is a `hidden beast` number, since 8 + 1 + 79 + 4 + 6 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8179468497 and 8179468506.

It is not an unprimeable number, because it can be changed into a prime (8179468567) 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, 2650 + ... + 127929.

It is an arithmetic number, because the mean of its divisors is an integer number (182159100).

Almost surely, 2^8179468560 is an apocalyptic number.

8179468560 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 8179468560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14572728000).

8179468560 is an abundant number, since it is smaller than the sum of its proper divisors (20965987440).

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

8179468560 is a wasteful number, since it uses less digits than its factorization.

8179468560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130630 (or 130618 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 8179468560 is about 90440.4144174495. The cubic root of 8179468560 is about 2014.8452499751.

The spelling of 8179468560 in words is "eight billion, one hundred seventy-nine million, four hundred sixty-eight thousand, five hundred sixty".