13293600768 has 480 divisors, whose sum is σ = 46429528320. Its totient is φ = 3726508032.

The previous prime is 13293600757. The next prime is 13293600769. The reversal of 13293600768 is 86700639231.

13293600768 is a `hidden beast` number, since 1 + 32 + 9 + 3 + 600 + 7 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13293600769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250822630 + ... + 250822682.

It is an arithmetic number, because the mean of its divisors is an integer number (96728184).

Almost surely, 2^13293600768 is an apocalyptic number.

13293600768 is a gapful number since it is divisible by the number (18) 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 13293600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23214764160).

13293600768 is an abundant number, since it is smaller than the sum of its proper divisors (33135927552).

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

13293600768 is an frugal number, since it uses more digits than its factorization.

13293600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

13293600768 divided by its product of nonzero digits (326592) gives a palindrome (40704).

The spelling of 13293600768 in words is "thirteen billion, two hundred ninety-three million, six hundred thousand, seven hundred sixty-eight".