12376615680 has 648 divisors, whose sum is σ = 50763467664. Its totient is φ = 2765537280.

The previous prime is 12376615661. The next prime is 12376615733. The reversal of 12376615680 is 8651667321.

12376615680 is a `hidden beast` number, since 1 + 23 + 7 + 6 + 61 + 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 71 ways as a sum of consecutive naturals, for example, 18120619 + ... + 18121301.

Almost surely, 2^12376615680 is an apocalyptic number.

12376615680 is a gapful number since it is divisible by the number (10) 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 12376615680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25381733832).

12376615680 is an abundant number, since it is smaller than the sum of its proper divisors (38386851984).

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

12376615680 is a wasteful number, since it uses less digits than its factorization.

12376615680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 12376615680 in words is "twelve billion, three hundred seventy-six million, six hundred fifteen thousand, six hundred eighty".