13079772672 has 160 divisors (see below), whose sum is σ = 36978585600. Its totient is φ = 4096770048.

The previous prime is 13079772631. The next prime is 13079772677. The reversal of 13079772672 is 27627797031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13079772677) 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, 3704604 + ... + 3708132.

It is an arithmetic number, because the mean of its divisors is an integer number (231116160).

Almost surely, 2^13079772672 is an apocalyptic number.

13079772672 is a gapful number since it is divisible by the number (12) 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 13079772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18489292800).

13079772672 is an abundant number, since it is smaller than the sum of its proper divisors (23898812928).

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

13079772672 is a wasteful number, since it uses less digits than its factorization.

13079772672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 1555848, while the sum is 51.

The spelling of 13079772672 in words is "thirteen billion, seventy-nine million, seven hundred seventy-two thousand, six hundred seventy-two".