6968665558656 has 192 divisors, whose sum is σ = 21219656365440. Its totient is φ = 2190598502400.

The previous prime is 6968665558583. The next prime is 6968665558661. The reversal of 6968665558656 is 6568555668696.

6968665558656 is a `hidden beast` number, since 6 + 9 + 6 + 8 + 6 + 6 + 5 + 558 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29046 + ... + 3733386.

It is an arithmetic number, because the mean of its divisors is an integer number (110519043570).

Almost surely, 2^{6968665558656} 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 6968665558656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10609828182720).

6968665558656 is an abundant number, since it is smaller than the sum of its proper divisors (14250990806784).

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

6968665558656 is a wasteful number, since it uses less digits than its factorization.

6968665558656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3704455 (or 3704440 counting only the distinct ones).

The product of its digits is 16796160000, while the sum is 81.

The spelling of 6968665558656 in words is "six trillion, nine hundred sixty-eight billion, six hundred sixty-five million, five hundred fifty-eight thousand, six hundred fifty-six".