6882087168 has 216 divisors, whose sum is σ = 21733770240. Its totient is φ = 2077102080.

The previous prime is 6882087167. The next prime is 6882087217. The reversal of 6882087168 is 8617802886.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6882087167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9706398 + ... + 9707106.

Almost surely, 2^6882087168 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 6882087168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866885120).

6882087168 is an abundant number, since it is smaller than the sum of its proper divisors (14851683072).

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

6882087168 is a wasteful number, since it uses less digits than its factorization.

6882087168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The square root of 6882087168 is about 82958.3459815828. The cubic root of 6882087168 is about 1902.1293917619.

The spelling of 6882087168 in words is "six billion, eight hundred eighty-two million, eighty-seven thousand, one hundred sixty-eight".