8086974418080 has 384 divisors, whose sum is σ = 28485187315200. Its totient is φ = 2142795866112.

The previous prime is 8086974418069. The next prime is 8086974418093. The reversal of 8086974418080 is 808144796808.

8086974418080 is a `hidden beast` number, since 80 + 8 + 69 + 7 + 4 + 418 + 0 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8086974417999 and 8086974418017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451046556 + ... + 451064484.

It is an arithmetic number, because the mean of its divisors is an integer number (74180175300).

Almost surely, 2^{8086974418080} is an apocalyptic number.

8086974418080 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 8086974418080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14242593657600).

8086974418080 is an abundant number, since it is smaller than the sum of its proper divisors (20398212897120).

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

8086974418080 is a wasteful number, since it uses less digits than its factorization.

8086974418080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18613 (or 18599 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 8086974418080 in words is "eight trillion, eighty-six billion, nine hundred seventy-four million, four hundred eighteen thousand, eighty".