13605277968 has 80 divisors (see below), whose sum is σ = 40004731200. Its totient is φ = 4424474880.

The previous prime is 13605277967. The next prime is 13605277999. The reversal of 13605277968 is 86977250631.

13605277968 is a `hidden beast` number, since 1 + 3 + 605 + 27 + 7 + 9 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13605277967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366358 + ... + 401781.

It is an arithmetic number, because the mean of its divisors is an integer number (500059140).

Almost surely, 2^13605277968 is an apocalyptic number.

13605277968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13605277968 is an abundant number, since it is smaller than the sum of its proper divisors (26399453232).

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

13605277968 is a wasteful number, since it uses less digits than its factorization.

13605277968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768197 (or 768185 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 13605277968 in words is "thirteen billion, six hundred five million, two hundred seventy-seven thousand, nine hundred sixty-eight".