6876287568 has 360 divisors, whose sum is σ = 22287073536. Its totient is φ = 1969920000.

The previous prime is 6876287567. The next prime is 6876287609. The reversal of 6876287568 is 8657826786.

6876287568 is a `hidden beast` number, since 6 + 8 + 7 + 62 + 8 + 7 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6876287567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27395443 + ... + 27395693.

Almost surely, 2^6876287568 is an apocalyptic number.

6876287568 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6876287568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11143536768).

6876287568 is an abundant number, since it is smaller than the sum of its proper divisors (15410785968).

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

6876287568 is a wasteful number, since it uses less digits than its factorization.

6876287568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 323 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The square root of 6876287568 is about 82923.3837225665. The cubic root of 6876287568 is about 1901.5949274533.

The spelling of 6876287568 in words is "six billion, eight hundred seventy-six million, two hundred eighty-seven thousand, five hundred sixty-eight".