13687767960 has 64 divisors (see below), whose sum is σ = 43224537600. Its totient is φ = 3457961856.

The previous prime is 13687767949. The next prime is 13687767967. The reversal of 13687767960 is 6976778631.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 13687767894 and 13687767903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13687767967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2999424 + ... + 3003983.

It is an arithmetic number, because the mean of its divisors is an integer number (675383400).

Almost surely, 2^13687767960 is an apocalyptic number.

13687767960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13687767960 is an abundant number, since it is smaller than the sum of its proper divisors (29536769640).

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

13687767960 is a wasteful number, since it uses less digits than its factorization.

13687767960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6003440 (or 6003436 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 13687767960 in words is "thirteen billion, six hundred eighty-seven million, seven hundred sixty-seven thousand, nine hundred sixty".