6805006801993 has 16 divisors (see below), whose sum is σ = 6863210323200. Its totient is φ = 6747048446976.

The previous prime is 6805006801961. The next prime is 6805006802047. The reversal of 6805006801993 is 3991086005086.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 6805006801993 - 2⁵ = 6805006801961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6805006801693) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 471025296 + ... + 471039742.

It is an arithmetic number, because the mean of its divisors is an integer number (428950645200).

Almost surely, 2^{6805006801993} is an apocalyptic number.

It is an amenable number.

6805006801993 is a deficient number, since it is larger than the sum of its proper divisors (58203521207).

6805006801993 is a wasteful number, since it uses less digits than its factorization.

6805006801993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22656.

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 6805006801993 in words is "six trillion, eight hundred five billion, six million, eight hundred one thousand, nine hundred ninety-three".