6875985600 has 504 divisors, whose sum is σ = 27033394752. Its totient is φ = 1643673600.

The previous prime is 6875985593. The next prime is 6875985619. The reversal of 6875985600 is 65895786.

6875985600 is a `hidden beast` number, since 6 + 8 + 75 + 9 + 8 + 560 + 0 = 666.

It is an unprimeable number.

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, 13146939 + ... + 13147461.

It is an arithmetic number, because the mean of its divisors is an integer number (53637688).

Almost surely, 2^6875985600 is an apocalyptic number.

6875985600 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 6875985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13516697376).

6875985600 is an abundant number, since it is smaller than the sum of its proper divisors (20157409152).

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

6875985600 is a wasteful number, since it uses less digits than its factorization.

6875985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 6875985600 is about 82921.5629375134. The cubic root of 6875985600 is about 1901.5670912497.

The spelling of 6875985600 in words is "six billion, eight hundred seventy-five million, nine hundred eighty-five thousand, six hundred".