12637160640 has 672 divisors, whose sum is σ = 49327125120. Its totient is φ = 2947940352.

The previous prime is 12637160621. The next prime is 12637160663. The reversal of 12637160640 is 4606173621.

It is a happy number.

12637160640 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 7 + 1 + 6 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12637160595 and 12637160604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111833224 + ... + 111833336.

It is an arithmetic number, because the mean of its divisors is an integer number (73403460).

Almost surely, 2^12637160640 is an apocalyptic number.

12637160640 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 12637160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24663562560).

12637160640 is an abundant number, since it is smaller than the sum of its proper divisors (36689964480).

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

12637160640 is a wasteful number, since it uses less digits than its factorization.

12637160640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12637160640 in words is "twelve billion, six hundred thirty-seven million, one hundred sixty thousand, six hundred forty".