13693639680 has 880 divisors, whose sum is σ = 57780423360. Its totient is φ = 3036413952.

The previous prime is 13693639679. The next prime is 13693639681. The reversal of 13693639680 is 8693639631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13693639679) and next prime (13693639681).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13693639681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 153861076 + ... + 153861164.

It is an arithmetic number, because the mean of its divisors is an integer number (65659572).

Almost surely, 2^13693639680 is an apocalyptic number.

13693639680 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 13693639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28890211680).

13693639680 is an abundant number, since it is smaller than the sum of its proper divisors (44086783680).

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

13693639680 is an equidigital number, since it uses as much as digits as its factorization.

13693639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 13693639680 in words is "thirteen billion, six hundred ninety-three million, six hundred thirty-nine thousand, six hundred eighty".