13504006764 has 36 divisors (see below), whose sum is σ = 34173954360. Its totient is φ = 4496215680.

The previous prime is 13504006741. The next prime is 13504006777. The reversal of 13504006764 is 46760040531.

It is a happy number.

13504006764 is a `hidden beast` number, since 135 + 0 + 400 + 67 + 64 = 666.

13504006764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181174 + ... + 244605.

It is an arithmetic number, because the mean of its divisors is an integer number (949276510).

Almost surely, 2^13504006764 is an apocalyptic number.

It is an amenable number.

13504006764 is an abundant number, since it is smaller than the sum of its proper divisors (20669947596).

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

13504006764 is a wasteful number, since it uses less digits than its factorization.

13504006764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426670 (or 426665 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13504006764 in words is "thirteen billion, five hundred four million, six thousand, seven hundred sixty-four".