6981074847792 has 200 divisors, whose sum is σ = 21121061181440. Its totient is φ = 2223452799360.

The previous prime is 6981074847787. The next prime is 6981074847841. The reversal of 6981074847792 is 2977484701896.

6981074847792 is a `hidden beast` number, since 6 + 9 + 8 + 107 + 48 + 477 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 6981074847792.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2074143 + ... + 4273665.

Almost surely, 2^{6981074847792} is an apocalyptic number.

6981074847792 is a gapful number since it is divisible by the number (62) 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 6981074847792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10560530590720).

6981074847792 is an abundant number, since it is smaller than the sum of its proper divisors (14139986333648).

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

6981074847792 is a wasteful number, since it uses less digits than its factorization.

6981074847792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199653 (or 2199638 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 6981074847792 in words is "six trillion, nine hundred eighty-one billion, seventy-four million, eight hundred forty-seven thousand, seven hundred ninety-two".