6981758725760 has 256 divisors, whose sum is σ = 20754277367040. Its totient is φ = 2186830282752.

The previous prime is 6981758725759. The next prime is 6981758725769. The reversal of 6981758725760 is 675278571896.

It is not an unprimeable number, because it can be changed into a prime (6981758725769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5031347 + ... + 6267213.

It is an arithmetic number, because the mean of its divisors is an integer number (81071395965).

Almost surely, 2^{6981758725760} 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 6981758725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10377138683520).

6981758725760 is an abundant number, since it is smaller than the sum of its proper divisors (13772518641280).

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

6981758725760 is a wasteful number, since it uses less digits than its factorization.

6981758725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236003 (or 1235991 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 71.

The spelling of 6981758725760 in words is "six trillion, nine hundred eighty-one billion, seven hundred fifty-eight million, seven hundred twenty-five thousand, seven hundred sixty".