12793936064 has 336 divisors, whose sum is σ = 34052256000. Its totient is φ = 4713375744.

The previous prime is 12793936063. The next prime is 12793936073. The reversal of 12793936064 is 46063939721.

It is not an unprimeable number, because it can be changed into a prime (12793936063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64291037 + ... + 64291235.

It is an arithmetic number, because the mean of its divisors is an integer number (101346000).

Almost surely, 2^12793936064 is an apocalyptic number.

12793936064 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 12793936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17026128000).

12793936064 is an abundant number, since it is smaller than the sum of its proper divisors (21258319936).

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

12793936064 is a wasteful number, since it uses less digits than its factorization.

12793936064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 50.

The spelling of 12793936064 in words is "twelve billion, seven hundred ninety-three million, nine hundred thirty-six thousand, sixty-four".