12799793664 has 640 divisors, whose sum is σ = 46385602560. Its totient is φ = 3448811520.

The previous prime is 12799793621. The next prime is 12799793689. The reversal of 12799793664 is 46639799721.

12799793664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180278749 + ... + 180278819.

It is an arithmetic number, because the mean of its divisors is an integer number (72477504).

Almost surely, 2^12799793664 is an apocalyptic number.

12799793664 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 12799793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23192801280).

12799793664 is an abundant number, since it is smaller than the sum of its proper divisors (33585808896).

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

12799793664 is an frugal number, since it uses more digits than its factorization.

12799793664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The spelling of 12799793664 in words is "twelve billion, seven hundred ninety-nine million, seven hundred ninety-three thousand, six hundred sixty-four".