13979648640 has 256 divisors, whose sum is σ = 45890893440. Its totient is φ = 3617587200.

The previous prime is 13979648597. The next prime is 13979648659. The reversal of 13979648640 is 4684697931.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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, 20230695 + ... + 20231385.

Almost surely, 2^13979648640 is an apocalyptic number.

13979648640 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 13979648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22945446720).

13979648640 is an abundant number, since it is smaller than the sum of its proper divisors (31911244800).

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

13979648640 is a wasteful number, since it uses less digits than its factorization.

13979648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 13979648640 in words is "thirteen billion, nine hundred seventy-nine million, six hundred forty-eight thousand, six hundred forty".