6801040805 has 18 divisors (see below), whose sum is σ = 8840444886. Its totient is φ = 5020536768.

The previous prime is 6801040783. The next prime is 6801040811. The reversal of 6801040805 is 5080401086.

It can be written as a sum of positive squares in 9 ways, for example, as 6707937604 + 93103201 = 81902^2 + 9649^2 .

It is not a de Polignac number, because 6801040805 - 2¹⁰ = 6801039781 is a prime.

It is a Curzon number.

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 17 ways as a sum of consecutive naturals, for example, 2395847 + ... + 2398683.

It is an arithmetic number, because the mean of its divisors is an integer number (491135827).

Almost surely, 2^6801040805 is an apocalyptic number.

6801040805 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6801040805 is a deficient number, since it is larger than the sum of its proper divisors (2039404081).

6801040805 is an frugal number, since it uses more digits than its factorization.

6801040805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5705 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 6801040805 is about 82468.4230781697. The cubic root of 6801040805 is about 1894.6331284130.

The spelling of 6801040805 in words is "six billion, eight hundred one million, forty thousand, eight hundred five".