13629626960 has 20 divisors (see below), whose sum is σ = 31688882868. Its totient is φ = 5451850752.

The previous prime is 13629626957. The next prime is 13629626999. The reversal of 13629626960 is 6962692631.

It can be written as a sum of positive squares in 2 ways, for example, as 4229161024 + 9400465936 = 65032^2 + 96956^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 13629626899 and 13629626908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85185089 + ... + 85185248.

Almost surely, 2^13629626960 is an apocalyptic number.

13629626960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13629626960 is an abundant number, since it is smaller than the sum of its proper divisors (18059255908).

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

13629626960 is a wasteful number, since it uses less digits than its factorization.

13629626960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170370350 (or 170370344 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 50.

The spelling of 13629626960 in words is "thirteen billion, six hundred twenty-nine million, six hundred twenty-six thousand, nine hundred sixty".