6980805458928 has 240 divisors, whose sum is σ = 22856328768000. Its totient is φ = 1947723148800.

The previous prime is 6980805458897. The next prime is 6980805458947. The reversal of 6980805458928 is 8298545080896.

6980805458928 is a `hidden beast` number, since 6 + 9 + 8 + 0 + 80 + 5 + 458 + 92 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8591598 + ... + 9368946.

It is an arithmetic number, because the mean of its divisors is an integer number (95234703200).

Almost surely, 2^{6980805458928} 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 6980805458928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11428164384000).

6980805458928 is an abundant number, since it is smaller than the sum of its proper divisors (15875523309072).

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

6980805458928 is a wasteful number, since it uses less digits than its factorization.

6980805458928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777580 (or 777571 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 72.

The spelling of 6980805458928 in words is "six trillion, nine hundred eighty billion, eight hundred five million, four hundred fifty-eight thousand, nine hundred twenty-eight".