6806740007328 has 192 divisors, whose sum is σ = 18640440887040. Its totient is φ = 2172828672000.

The previous prime is 6806740007297. The next prime is 6806740007351. The reversal of 6806740007328 is 8237000476086.

It is a super-3 number, since 3×6806740007328³ (a number of 39 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 151544938 + ... + 151589846.

It is an arithmetic number, because the mean of its divisors is an integer number (97085629620).

Almost surely, 2^{6806740007328} 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 6806740007328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9320220443520).

6806740007328 is an abundant number, since it is smaller than the sum of its proper divisors (11833700879712).

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

6806740007328 is a wasteful number, since it uses less digits than its factorization.

6806740007328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45631 (or 45623 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 6806740007328 in words is "six trillion, eight hundred six billion, seven hundred forty million, seven thousand, three hundred twenty-eight".