6681320174592 has 1584 divisors, whose sum is σ = 24553156467840. Its totient is φ = 1711019261952.

The previous prime is 6681320174539. The next prime is 6681320174687. The reversal of 6681320174592 is 2954710231866.

It is a happy number.

6681320174592 is a `hidden beast` number, since 6 + 6 + 8 + 1 + 32 + 0 + 17 + 4 + 592 = 666.

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 143 ways as a sum of consecutive naturals, for example, 42556179378 + ... + 42556179534.

It is a 1-persistent number, because it is pandigital, but 2⋅6681320174592 = 13362640349184 is not.

Almost surely, 2^{6681320174592} 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 6681320174592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276578233920).

6681320174592 is an abundant number, since it is smaller than the sum of its proper divisors (17871836293248).

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

6681320174592 is a wasteful number, since it uses less digits than its factorization.

6681320174592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 6681320174592 in words is "six trillion, six hundred eighty-one billion, three hundred twenty million, one hundred seventy-four thousand, five hundred ninety-two".