13372667817696 has 1440 divisors, whose sum is σ = 49443670805760. Its totient is φ = 3494347776000.

The previous prime is 13372667817599. The next prime is 13372667817811. The reversal of 13372667817696 is 69671876627331.

13372667817696 is a `hidden beast` number, since 1 + 337 + 2 + 6 + 67 + 81 + 76 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8850209581 + ... + 8850211091.

It is an arithmetic number, because the mean of its divisors is an integer number (34335882504).

Almost surely, 2^{13372667817696} is an apocalyptic number.

13372667817696 is a gapful number since it is divisible by the number (16) 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 13372667817696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24721835402880).

13372667817696 is an abundant number, since it is smaller than the sum of its proper divisors (36071002988064).

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

13372667817696 is a wasteful number, since it uses less digits than its factorization.

13372667817696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1594 counting only the distinct ones).

The product of its digits is 576108288, while the sum is 72.

The spelling of 13372667817696 in words is "thirteen trillion, three hundred seventy-two billion, six hundred sixty-seven million, eight hundred seventeen thousand, six hundred ninety-six".