13732634873664 has 560 divisors, whose sum is σ = 49518227404800. Its totient is φ = 3673443778560.

The previous prime is 13732634873561. The next prime is 13732634873743. The reversal of 13732634873664 is 46637843623731.

13732634873664 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 2 + 63 + 487 + 36 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117768862 + ... + 117885410.

It is an arithmetic number, because the mean of its divisors is an integer number (88425406080).

Almost surely, 2^{13732634873664} is an apocalyptic number.

13732634873664 is a gapful number since it is divisible by the number (14) 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 13732634873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24759113702400).

13732634873664 is an abundant number, since it is smaller than the sum of its proper divisors (35785592531136).

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

13732634873664 is a wasteful number, since it uses less digits than its factorization.

13732634873664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116788 (or 116769 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 63.

The spelling of 13732634873664 in words is "thirteen trillion, seven hundred thirty-two billion, six hundred thirty-four million, eight hundred seventy-three thousand, six hundred sixty-four".