12724967536 has 40 divisors (see below), whose sum is σ = 25542762480. Its totient is φ = 6133940736.

The previous prime is 12724967467. The next prime is 12724967539. The reversal of 12724967536 is 63576942721.

It is a happy number.

It is a super-2 number, since 2×12724967536² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12724967539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296836 + ... + 336988.

It is an arithmetic number, because the mean of its divisors is an integer number (638569062).

Almost surely, 2^12724967536 is an apocalyptic number.

12724967536 is a gapful number since it is divisible by the number (16) 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 12724967536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12771381240).

12724967536 is an abundant number, since it is smaller than the sum of its proper divisors (12817794944).

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

12724967536 is a wasteful number, since it uses less digits than its factorization.

12724967536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40873 (or 40867 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 52.

The spelling of 12724967536 in words is "twelve billion, seven hundred twenty-four million, nine hundred sixty-seven thousand, five hundred thirty-six".