13275684864 has 504 divisors, whose sum is σ = 45143028840. Its totient is φ = 3869835264.

The previous prime is 13275684853. The next prime is 13275684871. The reversal of 13275684864 is 46848657231.

It is a happy number.

13275684864 is a `hidden beast` number, since 1 + 32 + 7 + 568 + 48 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13275684864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 698720247 + ... + 698720265.

Almost surely, 2^13275684864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13275684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22571514420).

13275684864 is an abundant number, since it is smaller than the sum of its proper divisors (31867343976).

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

13275684864 is an frugal number, since it uses more digits than its factorization.

13275684864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 37 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 13275684864 in words is "thirteen billion, two hundred seventy-five million, six hundred eighty-four thousand, eight hundred sixty-four".