12879584640 has 576 divisors, whose sum is σ = 49007209680. Its totient is φ = 3115008000.

The previous prime is 12879584639. The next prime is 12879584687. The reversal of 12879584640 is 4648597821.

It is a happy number.

12879584640 is a `hidden beast` number, since 12 + 8 + 7 + 9 + 584 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98317375 + ... + 98317505.

Almost surely, 2^12879584640 is an apocalyptic number.

12879584640 is a gapful number since it is divisible by the number (10) 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 12879584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24503604840).

12879584640 is an abundant number, since it is smaller than the sum of its proper divisors (36127625040).

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

12879584640 is a wasteful number, since it uses less digits than its factorization.

12879584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12879584640 in words is "twelve billion, eight hundred seventy-nine million, five hundred eighty-four thousand, six hundred forty".