6981886402560 has 448 divisors, whose sum is σ = 24880749384960. Its totient is φ = 1857503232000.

The previous prime is 6981886402549. The next prime is 6981886402633. The reversal of 6981886402560 is 652046881896.

6981886402560 is a `hidden beast` number, since 6 + 9 + 8 + 1 + 8 + 8 + 64 + 0 + 2 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489915435 + ... + 489929685.

It is an arithmetic number, because the mean of its divisors is an integer number (55537387020).

Almost surely, 2^{6981886402560} is an apocalyptic number.

6981886402560 is a gapful number since it is divisible by the number (60) 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 6981886402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12440374692480).

6981886402560 is an abundant number, since it is smaller than the sum of its proper divisors (17898862982400).

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

6981886402560 is a wasteful number, since it uses less digits than its factorization.

6981886402560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14734 (or 14704 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 6981886402560 in words is "six trillion, nine hundred eighty-one billion, eight hundred eighty-six million, four hundred two thousand, five hundred sixty".