6832644803712 has 960 divisors, whose sum is σ = 26162561973240. Its totient is φ = 1753250365440.

The previous prime is 6832644803687. The next prime is 6832644803723. The reversal of 6832644803712 is 2173084462386.

6832644803712 is a `hidden beast` number, since 6 + 8 + 3 + 264 + 4 + 8 + 0 + 371 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5256454948416 + 1576189855296 = 2292696^2 + 1255464^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 244349412 + ... + 244377372.

Almost surely, 2^{6832644803712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6832644803712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13081280986620).

6832644803712 is an abundant number, since it is smaller than the sum of its proper divisors (19329917169528).

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

6832644803712 is a wasteful number, since it uses less digits than its factorization.

6832644803712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28051 (or 28023 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 6832644803712 in words is "six trillion, eight hundred thirty-two billion, six hundred forty-four million, eight hundred three thousand, seven hundred twelve".