13442682672 has 160 divisors (see below), whose sum is σ = 40343846400. Its totient is φ = 4277484288.

The previous prime is 13442682641. The next prime is 13442682683. The reversal of 13442682672 is 27628624431.

It is a happy number.

13442682672 is a `hidden beast` number, since 134 + 426 + 8 + 26 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6546798 + ... + 6548850.

It is an arithmetic number, because the mean of its divisors is an integer number (252149040).

Almost surely, 2^13442682672 is an apocalyptic number.

13442682672 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 13442682672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20171923200).

13442682672 is an abundant number, since it is smaller than the sum of its proper divisors (26901163728).

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

13442682672 is a wasteful number, since it uses less digits than its factorization.

13442682672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2740 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 13442682672 in words is "thirteen billion, four hundred forty-two million, six hundred eighty-two thousand, six hundred seventy-two".