12733695072 has 360 divisors, whose sum is σ = 44017702344. Its totient is φ = 3600350208.

The previous prime is 12733695047. The next prime is 12733695083. The reversal of 12733695072 is 27059633721.

12733695072 is a `hidden beast` number, since 12 + 73 + 3 + 69 + 507 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13589388 + ... + 13590324.

Almost surely, 2^12733695072 is an apocalyptic number.

12733695072 is a gapful number since it is divisible by the number (12) 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 12733695072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22008851172).

12733695072 is an abundant number, since it is smaller than the sum of its proper divisors (31284007272).

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

12733695072 is a wasteful number, since it uses less digits than its factorization.

12733695072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 12733695072 in words is "twelve billion, seven hundred thirty-three million, six hundred ninety-five thousand, seventy-two".