6875668800 has 1680 divisors, whose sum is σ = 34573537152. Its totient is φ = 1293926400.

The previous prime is 6875668763. The next prime is 6875668823. The reversal of 6875668800 is 88665786.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 129729574 + ... + 129729626.

Almost surely, 2^6875668800 is an apocalyptic number.

6875668800 is a gapful number since it is divisible by the number (60) 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 6875668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17286768576).

6875668800 is an abundant number, since it is smaller than the sum of its proper divisors (27697868352).

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

6875668800 is a wasteful number, since it uses less digits than its factorization.

6875668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 6875668800 is about 82919.6526765519. The cubic root of 6875668800 is about 1901.5378869173.

The spelling of 6875668800 in words is "six billion, eight hundred seventy-five million, six hundred sixty-eight thousand, eight hundred".