6875130470208 has 1792 divisors, whose sum is σ = 27182487306240. Its totient is φ = 1473114931200.

The previous prime is 6875130470179. The next prime is 6875130470237. The reversal of 6875130470208 is 8020740315786.

It is a Cunningham number, because it is equal to 2622047²-1.

It is an interprime number because it is at equal distance from previous prime (6875130470179) and next prime (6875130470237).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14353090513 + ... + 14353090991.

It is an arithmetic number, because the mean of its divisors is an integer number (15168798720).

Almost surely, 2^{6875130470208} is an apocalyptic number.

6875130470208 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 6875130470208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13591243653120).

6875130470208 is an abundant number, since it is smaller than the sum of its proper divisors (20307356836032).

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

6875130470208 is a wasteful number, since it uses less digits than its factorization.

6875130470208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 6875130470208 in words is "six trillion, eight hundred seventy-five billion, one hundred thirty million, four hundred seventy thousand, two hundred eight".