6881349922560 has 864 divisors, whose sum is σ = 25206275727360. Its totient is φ = 1730676326400.

The previous prime is 6881349922519. The next prime is 6881349922583. The reversal of 6881349922560 is 652299431886.

6881349922560 is a `hidden beast` number, since 6 + 8 + 8 + 1 + 3 + 49 + 9 + 22 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4716483111 + ... + 4716484569.

It is an arithmetic number, because the mean of its divisors is an integer number (29173930240).

Almost surely, 2^{6881349922560} is an apocalyptic number.

6881349922560 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 6881349922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603137863680).

6881349922560 is an abundant number, since it is smaller than the sum of its proper divisors (18324925804800).

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

6881349922560 is a wasteful number, since it uses less digits than its factorization.

6881349922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 6881349922560 in words is "six trillion, eight hundred eighty-one billion, three hundred forty-nine million, nine hundred twenty-two thousand, five hundred sixty".