13609761264 has 240 divisors, whose sum is σ = 45627079680. Its totient is φ = 3881364480.

The previous prime is 13609761239. The next prime is 13609761299. The reversal of 13609761264 is 46216790631.

13609761264 is a `hidden beast` number, since 13 + 609 + 7 + 6 + 1 + 26 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717697 + ... + 736415.

It is an arithmetic number, because the mean of its divisors is an integer number (190112832).

Almost surely, 2^13609761264 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 13609761264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22813539840).

13609761264 is an abundant number, since it is smaller than the sum of its proper divisors (32017318416).

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

13609761264 is a wasteful number, since it uses less digits than its factorization.

13609761264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18770 (or 18752 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13609761264 in words is "thirteen billion, six hundred nine million, seven hundred sixty-one thousand, two hundred sixty-four".