6680710275840 has 864 divisors, whose sum is σ = 24622953578496. Its totient is φ = 1733602590720.

The previous prime is 6680710275763. The next prime is 6680710275847. The reversal of 6680710275840 is 485720170866.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (6680710275847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2093608645 + ... + 2093611835.

It is an arithmetic number, because the mean of its divisors is an integer number (28498788864).

Almost surely, 2^{6680710275840} is an apocalyptic number.

6680710275840 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 6680710275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12311476789248).

6680710275840 is an abundant number, since it is smaller than the sum of its proper divisors (17942243302656).

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

6680710275840 is a wasteful number, since it uses less digits than its factorization.

6680710275840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3407 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 6680710275840 in words is "six trillion, six hundred eighty billion, seven hundred ten million, two hundred seventy-five thousand, eight hundred forty".