12724363296 has 72 divisors (see below), whose sum is σ = 36201192300. Its totient is φ = 4239545856.

The previous prime is 12724363283. The next prime is 12724363297. The reversal of 12724363296 is 69236342721.

12724363296 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 4 + 3 + 632 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12715719696 + 8643600 = 112764^2 + 2940^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (12724363297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 725446 + ... + 742778.

Almost surely, 2^12724363296 is an apocalyptic number.

12724363296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12724363296 is an abundant number, since it is smaller than the sum of its proper divisors (23476829004).

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

12724363296 is a wasteful number, since it uses less digits than its factorization.

12724363296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19898 (or 19887 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 12724363296 in words is "twelve billion, seven hundred twenty-four million, three hundred sixty-three thousand, two hundred ninety-six".