12640579969024 has 336 divisors, whose sum is σ = 30186871493040. Its totient is φ = 5275574599680.

The previous prime is 12640579968977. The next prime is 12640579969027. The reversal of 12640579969024 is 42096997504621.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12640579969027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2393593264 + ... + 2393598544.

Almost surely, 2^{12640579969024} is an apocalyptic number.

12640579969024 is a gapful number since it is divisible by the number (14) 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 12640579969024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15093435746520).

12640579969024 is an abundant number, since it is smaller than the sum of its proper divisors (17546291524016).

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

12640579969024 is an frugal number, since it uses more digits than its factorization.

12640579969024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5477 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 12640579969024 in words is "twelve trillion, six hundred forty billion, five hundred seventy-nine million, nine hundred sixty-nine thousand, twenty-four".