6980407849656 has 192 divisors, whose sum is σ = 19984592160000. Its totient is φ = 2195019606528.

The previous prime is 6980407849643. The next prime is 6980407849663. The reversal of 6980407849656 is 6569487040896.

6980407849656 is a `hidden beast` number, since 6 + 9 + 8 + 0 + 407 + 84 + 96 + 56 = 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, 335440980 + ... + 335461788.

It is an arithmetic number, because the mean of its divisors is an integer number (104086417500).

Almost surely, 2^{6980407849656} 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 6980407849656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9992296080000).

6980407849656 is an abundant number, since it is smaller than the sum of its proper divisors (13004184310344).

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

6980407849656 is a wasteful number, since it uses less digits than its factorization.

6980407849656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21866 (or 21859 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 6980407849656 in words is "six trillion, nine hundred eighty billion, four hundred seven million, eight hundred forty-nine thousand, six hundred fifty-six".