12790462464 has 336 divisors, whose sum is σ = 41356715400. Its totient is φ = 3929554944.

The previous prime is 12790462463. The next prime is 12790462469. The reversal of 12790462464 is 46426409721.

12790462464 is a `hidden beast` number, since 12 + 7 + 9 + 0 + 4 + 624 + 6 + 4 = 666.

12790462464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12790462463) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 19408567 + ... + 19409225.

Almost surely, 2^12790462464 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 12790462464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20678357700).

12790462464 is an abundant number, since it is smaller than the sum of its proper divisors (28566252936).

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

12790462464 is an frugal number, since it uses more digits than its factorization.

12790462464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 12790462464 in words is "twelve billion, seven hundred ninety million, four hundred sixty-two thousand, four hundred sixty-four".