8139415680 has 256 divisors, whose sum is σ = 31448476800. Its totient is φ = 1973145600.

The previous prime is 8139415663. The next prime is 8139415717. The reversal of 8139415680 is 865149318.

8139415680 is a `hidden beast` number, since 81 + 3 + 9 + 4 + 1 + 568 + 0 = 666.

It is a super-2 number, since 2×8139415680² (a number of 21 digits) 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 31 ways as a sum of consecutive naturals, for example, 168670 + ... + 211490.

Almost surely, 2^8139415680 is an apocalyptic number.

8139415680 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 8139415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724238400).

8139415680 is an abundant number, since it is smaller than the sum of its proper divisors (23309061120).

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

8139415680 is a wasteful number, since it uses less digits than its factorization.

8139415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42860 (or 42842 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8139415680 is about 90218.7102545808. The cubic root of 8139415680 is about 2011.5511305868.

The spelling of 8139415680 in words is "eight billion, one hundred thirty-nine million, four hundred fifteen thousand, six hundred eighty".