6805384992 has 576 divisors, whose sum is σ = 25027833600. Its totient is φ = 1788272640.

The previous prime is 6805384987. The next prime is 6805385033. The reversal of 6805384992 is 2994835086.

6805384992 is a `hidden beast` number, since 68 + 0 + 538 + 49 + 9 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28237992 + ... + 28238232.

It is an arithmetic number, because the mean of its divisors is an integer number (43451100).

Almost surely, 2^6805384992 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 6805384992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12513916800).

6805384992 is an abundant number, since it is smaller than the sum of its proper divisors (18222448608).

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

6805384992 is a wasteful number, since it uses less digits than its factorization.

6805384992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 6805384992 is about 82494.7573606954. The cubic root of 6805384992 is about 1895.0364435827.

The spelling of 6805384992 in words is "six billion, eight hundred five million, three hundred eighty-four thousand, nine hundred ninety-two".