8681215680 has 336 divisors, whose sum is σ = 31553383680. Its totient is φ = 2186274816.

The previous prime is 8681215679. The next prime is 8681215721. The reversal of 8681215680 is 865121868.

8681215680 is a `hidden beast` number, since 8 + 6 + 81 + 2 + 1 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5497131 + ... + 5498709.

It is an arithmetic number, because the mean of its divisors is an integer number (93908880).

Almost surely, 2^8681215680 is an apocalyptic number.

8681215680 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 8681215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15776691840).

8681215680 is an abundant number, since it is smaller than the sum of its proper divisors (22872168000).

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

8681215680 is a wasteful number, since it uses less digits than its factorization.

8681215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 8681215680 is about 93173.0415946587. The cubic root of 8681215680 is about 2055.2288235082.

The spelling of 8681215680 in words is "eight billion, six hundred eighty-one million, two hundred fifteen thousand, six hundred eighty".