12793745664 has 288 divisors, whose sum is σ = 43438106880. Its totient is φ = 3638476800.

The previous prime is 12793745593. The next prime is 12793745681. The reversal of 12793745664 is 46654739721.

12793745664 is a `hidden beast` number, since 1 + 2 + 7 + 9 + 3 + 74 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12793745664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13595434 + ... + 13596374.

It is an arithmetic number, because the mean of its divisors is an integer number (150826760).

Almost surely, 2^12793745664 is an apocalyptic number.

12793745664 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 12793745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21719053440).

12793745664 is an abundant number, since it is smaller than the sum of its proper divisors (30644361216).

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

12793745664 is an equidigital number, since it uses as much as digits as its factorization.

12793745664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1234 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The spelling of 12793745664 in words is "twelve billion, seven hundred ninety-three million, seven hundred forty-five thousand, six hundred sixty-four".