12768284731680 has 144 divisors (see below), whose sum is σ = 43574113949184. Its totient is φ = 3404692892160.

The previous prime is 12768284731603. The next prime is 12768284731717. The reversal of 12768284731680 is 8613748286721.

It is a happy number.

12768284731680 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 82 + 8 + 473 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27694407 + ... + 28151673.

It is an arithmetic number, because the mean of its divisors is an integer number (302598013536).

Almost surely, 2^{12768284731680} is an apocalyptic number.

12768284731680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12768284731680 is an abundant number, since it is smaller than the sum of its proper divisors (30805829217504).

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

12768284731680 is a wasteful number, since it uses less digits than its factorization.

12768284731680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476679 (or 476668 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 12768284731680 in words is "twelve trillion, seven hundred sixty-eight billion, two hundred eighty-four million, seven hundred thirty-one thousand, six hundred eighty".