12782644128 has 384 divisors, whose sum is σ = 41303001600. Its totient is φ = 3832012800.

The previous prime is 12782644073. The next prime is 12782644139. The reversal of 12782644128 is 82144628721.

12782644128 is a `hidden beast` number, since 127 + 82 + 6 + 441 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23627538 + ... + 23628078.

It is an arithmetic number, because the mean of its divisors is an integer number (107559900).

Almost surely, 2^12782644128 is an apocalyptic number.

12782644128 is a gapful number since it is divisible by the number (18) 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 12782644128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20651500800).

12782644128 is an abundant number, since it is smaller than the sum of its proper divisors (28520357472).

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

12782644128 is a wasteful number, since it uses less digits than its factorization.

12782644128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 639 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The spelling of 12782644128 in words is "twelve billion, seven hundred eighty-two million, six hundred forty-four thousand, one hundred twenty-eight".