12793727232 has 648 divisors, whose sum is σ = 45514647360. Its totient is φ = 3421716480.

The previous prime is 12793727227. The next prime is 12793727279. The reversal of 12793727232 is 23272739721.

It is a happy number.

12793727232 is a `hidden beast` number, since 1 + 279 + 372 + 7 + 2 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 124210893 + ... + 124210995.

Almost surely, 2^12793727232 is an apocalyptic number.

12793727232 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 12793727232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22757323680).

12793727232 is an abundant number, since it is smaller than the sum of its proper divisors (32720920128).

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

12793727232 is a wasteful number, since it uses less digits than its factorization.

12793727232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 161 counting only the distinct ones).

The product of its digits is 444528, while the sum is 45.

The spelling of 12793727232 in words is "twelve billion, seven hundred ninety-three million, seven hundred twenty-seven thousand, two hundred thirty-two".