12723766704 has 240 divisors, whose sum is σ = 41936244480. Its totient is φ = 3560578560.

The previous prime is 12723766669. The next prime is 12723766711. The reversal of 12723766704 is 40766732721.

12723766704 is a `hidden beast` number, since 1 + 272 + 376 + 6 + 7 + 0 + 4 = 666.

12723766704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12723766704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1050507 + ... + 1062549.

It is an arithmetic number, because the mean of its divisors is an integer number (174734352).

Almost surely, 2^12723766704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12723766704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20968122240).

12723766704 is an abundant number, since it is smaller than the sum of its proper divisors (29212477776).

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

12723766704 is a wasteful number, since it uses less digits than its factorization.

12723766704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12120 (or 12111 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 12723766704 in words is "twelve billion, seven hundred twenty-three million, seven hundred sixty-six thousand, seven hundred four".