13687040640 has 1152 divisors, whose sum is σ = 59542801920. Its totient is φ = 2647572480.

The previous prime is 13687040599. The next prime is 13687040669. The reversal of 13687040640 is 4604078631.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 441517425 + ... + 441517455.

It is an arithmetic number, because the mean of its divisors is an integer number (51686460).

Almost surely, 2^13687040640 is an apocalyptic number.

13687040640 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 13687040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29771400960).

13687040640 is an abundant number, since it is smaller than the sum of its proper divisors (45855761280).

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

13687040640 is a wasteful number, since it uses less digits than its factorization.

13687040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 13687040640 in words is "thirteen billion, six hundred eighty-seven million, forty thousand, six hundred forty".