13629374960 has 40 divisors (see below), whose sum is σ = 33066053280. Its totient is φ = 5214716672.

The previous prime is 13629374959. The next prime is 13629374981. The reversal of 13629374960 is 6947392631.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 13629374899 and 13629374908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3701795 + ... + 3705474.

It is an arithmetic number, because the mean of its divisors is an integer number (826651332).

Almost surely, 2^13629374960 is an apocalyptic number.

13629374960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13629374960 is an abundant number, since it is smaller than the sum of its proper divisors (19436678320).

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

13629374960 is a wasteful number, since it uses less digits than its factorization.

13629374960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7407305 (or 7407299 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 50.

The spelling of 13629374960 in words is "thirteen billion, six hundred twenty-nine million, three hundred seventy-four thousand, nine hundred sixty".