6687758596680 has 768 divisors, whose sum is σ = 26867108505600. Its totient is φ = 1473879214080.

The previous prime is 6687758596633. The next prime is 6687758596741. The reversal of 6687758596680 is 866958577866.

It is a happy number.

It is a super-2 number, since 2×6687758596680² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6687758596680.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 454416682 + ... + 454431398.

It is an arithmetic number, because the mean of its divisors is an integer number (34983214200).

Almost surely, 2^{6687758596680} is an apocalyptic number.

6687758596680 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 6687758596680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13433554252800).

6687758596680 is an abundant number, since it is smaller than the sum of its proper divisors (20179349908920).

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

6687758596680 is a wasteful number, since it uses less digits than its factorization.

6687758596680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15059 (or 15042 counting only the distinct ones).

The product of its (nonzero) digits is 7315660800, while the sum is 81.

The spelling of 6687758596680 in words is "six trillion, six hundred eighty-seven billion, seven hundred fifty-eight million, five hundred ninety-six thousand, six hundred eighty".