12670344864 has 384 divisors, whose sum is σ = 40205088000. Its totient is φ = 3869835264.

The previous prime is 12670344833. The next prime is 12670344877. The reversal of 12670344864 is 46844307621.

12670344864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 116241642 + ... + 116241750.

It is an arithmetic number, because the mean of its divisors is an integer number (104700750).

Almost surely, 2^12670344864 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 12670344864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20102544000).

12670344864 is an abundant number, since it is smaller than the sum of its proper divisors (27534743136).

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

12670344864 is a wasteful number, since it uses less digits than its factorization.

12670344864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 12670344864 in words is "twelve billion, six hundred seventy million, three hundred forty-four thousand, eight hundred sixty-four".