13204673664 has 384 divisors, whose sum is σ = 45158500800. Its totient is φ = 3386105856.

The previous prime is 13204673549. The next prime is 13204673683. The reversal of 13204673664 is 46637640231.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9049767 + ... + 9051225.

Almost surely, 2^13204673664 is an apocalyptic number.

13204673664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13204673664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22579250400).

13204673664 is an abundant number, since it is smaller than the sum of its proper divisors (31953827136).

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

13204673664 is a wasteful number, since it uses less digits than its factorization.

13204673664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 13204673664 in words is "thirteen billion, two hundred four million, six hundred seventy-three thousand, six hundred sixty-four".