13794684583680 has 4608 divisors, whose sum is σ = 71522235187200. Its totient is φ = 2422230220800.

The previous prime is 13794684583651. The next prime is 13794684583717. The reversal of 13794684583680 is 8638548649731.

13794684583680 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 4 + 68 + 458 + 36 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13794684583599 and 13794684583608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 20376195502 + ... + 20376196178.

It is an arithmetic number, because the mean of its divisors is an integer number (15521318400).

Almost surely, 2^{13794684583680} is an apocalyptic number.

13794684583680 is a gapful number since it is divisible by the number (10) 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 13794684583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35761117593600).

13794684583680 is an abundant number, since it is smaller than the sum of its proper divisors (57727550603520).

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

13794684583680 is a wasteful number, since it uses less digits than its factorization.

13794684583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 13794684583680 in words is "thirteen trillion, seven hundred ninety-four billion, six hundred eighty-four million, five hundred eighty-three thousand, six hundred eighty".