6886952960 has 208 divisors, whose sum is σ = 17749176192. Its totient is φ = 2555904000.

The previous prime is 6886952959. The next prime is 6886952993. The reversal of 6886952960 is 692596886.

It is a self number, because there is not a number n which added to its sum of digits gives 6886952960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45608885 + ... + 45609035.

Almost surely, 2^6886952960 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 6886952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8874588096).

6886952960 is an abundant number, since it is smaller than the sum of its proper divisors (10862223232).

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

6886952960 is a wasteful number, since it uses less digits than its factorization.

6886952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 59.

The square root of 6886952960 is about 82987.6675175294. The cubic root of 6886952960 is about 1902.5775690545.

The spelling of 6886952960 in words is "six billion, eight hundred eighty-six million, nine hundred fifty-two thousand, nine hundred sixty".