12840972768 has 480 divisors, whose sum is σ = 44259747840. Its totient is φ = 3616773120.

The previous prime is 12840972757. The next prime is 12840972821. The reversal of 12840972768 is 86727904821.

It is a happy number.

12840972768 is a `hidden beast` number, since 1 + 284 + 0 + 97 + 276 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19846621 + ... + 19847267.

It is an arithmetic number, because the mean of its divisors is an integer number (92207808).

Almost surely, 2^12840972768 is an apocalyptic number.

12840972768 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 12840972768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22129873920).

12840972768 is an abundant number, since it is smaller than the sum of its proper divisors (31418775072).

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

12840972768 is a wasteful number, since it uses less digits than its factorization.

12840972768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 12840972768 in words is "twelve billion, eight hundred forty million, nine hundred seventy-two thousand, seven hundred sixty-eight".