13666824720 has 120 divisors (see below), whose sum is σ = 46228291200. Its totient is φ = 3618240768.

The previous prime is 13666824709. The next prime is 13666824793. The reversal of 13666824720 is 2742866631.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31801 + ... + 168359.

It is an arithmetic number, because the mean of its divisors is an integer number (385235760).

Almost surely, 2^13666824720 is an apocalyptic number.

13666824720 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 13666824720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23114145600).

13666824720 is an abundant number, since it is smaller than the sum of its proper divisors (32561466480).

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

13666824720 is a wasteful number, since it uses less digits than its factorization.

13666824720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136717 (or 136708 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13666824720 in words is "thirteen billion, six hundred sixty-six million, eight hundred twenty-four thousand, seven hundred twenty".