6883568064 has 504 divisors, whose sum is σ = 23007675600. Its totient is φ = 1958584320.

The previous prime is 6883568057. The next prime is 6883568101. The reversal of 6883568064 is 4608653886.

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 a self number, because there is not a number n which added to its sum of digits gives 6883568064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167891884 + ... + 167891924.

It is an arithmetic number, because the mean of its divisors is an integer number (45650150).

Almost surely, 2^6883568064 is an apocalyptic number.

6883568064 is a gapful number since it is divisible by the number (64) 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 6883568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11503837800).

6883568064 is an abundant number, since it is smaller than the sum of its proper divisors (16124107536).

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

6883568064 is a wasteful number, since it uses less digits than its factorization.

6883568064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 6883568064 is about 82967.2710410557. The cubic root of 6883568064 is about 1902.2658161595.

The spelling of 6883568064 in words is "six billion, eight hundred eighty-three million, five hundred sixty-eight thousand, sixty-four".