6882410861568 has 990 divisors, whose sum is σ = 23096489270778. Its totient is φ = 2039822991360.

The previous prime is 6882410861561. The next prime is 6882410861603. The reversal of 6882410861568 is 8651680142886.

6882410861568 is a `hidden beast` number, since 6 + 8 + 8 + 2 + 4 + 1 + 0 + 8 + 61 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6847474765824 + 34936095744 = 2616768^2 + 186912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6882410861561) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 34936095646 + ... + 34936095842.

Almost surely, 2^{6882410861568} 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 6882410861568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548244635389).

6882410861568 is an abundant number, since it is smaller than the sum of its proper divisors (16214078409210).

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

6882410861568 is a wasteful number, since it uses less digits than its factorization.

6882410861568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 6882410861568 in words is "six trillion, eight hundred eighty-two billion, four hundred ten million, eight hundred sixty-one thousand, five hundred sixty-eight".