6814680556992 has 1792 divisors, whose sum is σ = 25218127872000. Its totient is φ = 1603641016320.

The previous prime is 6814680556987. The next prime is 6814680557021. The reversal of 6814680556992 is 2996550864186.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 60306907528 + ... + 60306907640.

It is an arithmetic number, because the mean of its divisors is an integer number (14072616000).

Almost surely, 2^{6814680556992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6814680556992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12609063936000).

6814680556992 is an abundant number, since it is smaller than the sum of its proper divisors (18403447315008).

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

6814680556992 is a wasteful number, since it uses less digits than its factorization.

6814680556992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 69.

The spelling of 6814680556992 in words is "six trillion, eight hundred fourteen billion, six hundred eighty million, five hundred fifty-six thousand, nine hundred ninety-two".