6805995172992 has 512 divisors, whose sum is σ = 21096256896000. Its totient is φ = 2158217478144.

The previous prime is 6805995172957. The next prime is 6805995173011. The reversal of 6805995172992 is 2992715995086.

6805995172992 is a `hidden beast` number, since 6 + 8 + 0 + 599 + 5 + 1 + 7 + 29 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 6805995172992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 938366038 + ... + 938373290.

It is an arithmetic number, because the mean of its divisors is an integer number (41203626750).

Almost surely, 2^{6805995172992} 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 6805995172992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10548128448000).

6805995172992 is an abundant number, since it is smaller than the sum of its proper divisors (14290261723008).

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

6805995172992 is a wasteful number, since it uses less digits than its factorization.

6805995172992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7485 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 72.

The spelling of 6805995172992 in words is "six trillion, eight hundred five billion, nine hundred ninety-five million, one hundred seventy-two thousand, nine hundred ninety-two".