13662640668672 has 720 divisors, whose sum is σ = 43087347646200. Its totient is φ = 4168668413952.

The previous prime is 13662640668653. The next prime is 13662640668707. The reversal of 13662640668672 is 27686604626631.

13662640668672 is a `hidden beast` number, since 1 + 3 + 66 + 26 + 406 + 6 + 86 + 72 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 58637942668 + ... + 58637942900.

Almost surely, 2^{13662640668672} is an apocalyptic number.

13662640668672 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 13662640668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21543673823100).

13662640668672 is an abundant number, since it is smaller than the sum of its proper divisors (29424706977528).

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

13662640668672 is an frugal number, since it uses more digits than its factorization.

13662640668672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 13662640668672 in words is "thirteen trillion, six hundred sixty-two billion, six hundred forty million, six hundred sixty-eight thousand, six hundred seventy-two".