6875095680 has 384 divisors, whose sum is σ = 24771801600. Its totient is φ = 1755095040.

The previous prime is 6875095639. The next prime is 6875095739. The reversal of 6875095680 is 865905786.

6875095680 is a `hidden beast` number, since 6 + 8 + 7 + 509 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 24819702 + ... + 24819978.

It is an arithmetic number, because the mean of its divisors is an integer number (64509900).

Almost surely, 2^6875095680 is an apocalyptic number.

6875095680 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 6875095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12385900800).

6875095680 is an abundant number, since it is smaller than the sum of its proper divisors (17896705920).

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

6875095680 is a wasteful number, since it uses less digits than its factorization.

6875095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 457 counting only the distinct ones).

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

The square root of 6875095680 is about 82916.1967289866. The cubic root of 6875095680 is about 1901.4850513456.

The spelling of 6875095680 in words is "six billion, eight hundred seventy-five million, ninety-five thousand, six hundred eighty".