6981006476880 has 480 divisors, whose sum is σ = 25404179742720. Its totient is φ = 1761794012160.

The previous prime is 6981006476879. The next prime is 6981006476933. The reversal of 6981006476880 is 886746001896.

6981006476880 is a `hidden beast` number, since 6 + 9 + 81 + 0 + 0 + 6 + 476 + 8 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 852273585 + ... + 852281775.

It is an arithmetic number, because the mean of its divisors is an integer number (52925374464).

Almost surely, 2^{6981006476880} is an apocalyptic number.

6981006476880 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 6981006476880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12702089871360).

6981006476880 is an abundant number, since it is smaller than the sum of its proper divisors (18423173265840).

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

6981006476880 is a wasteful number, since it uses less digits than its factorization.

6981006476880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9344 (or 9313 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 6981006476880 in words is "six trillion, nine hundred eighty-one billion, six million, four hundred seventy-six thousand, eight hundred eighty".