13679337640 has 128 divisors (see below), whose sum is σ = 33094656000. Its totient is φ = 5070643200.

The previous prime is 13679337601. The next prime is 13679337649. The reversal of 13679337640 is 4673397631.

It is not an unprimeable number, because it can be changed into a prime (13679337649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13039836 + ... + 13040884.

It is an arithmetic number, because the mean of its divisors is an integer number (258552000).

Almost surely, 2^13679337640 is an apocalyptic number.

13679337640 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 13679337640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16547328000).

13679337640 is an abundant number, since it is smaller than the sum of its proper divisors (19415318360).

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

13679337640 is a wasteful number, since it uses less digits than its factorization.

13679337640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 49.

The spelling of 13679337640 in words is "thirteen billion, six hundred seventy-nine million, three hundred thirty-seven thousand, six hundred forty".