6809312160 has 288 divisors, whose sum is σ = 26652592512. Its totient is φ = 1550776320.

The previous prime is 6809312119. The next prime is 6809312179. The reversal of 6809312160 is 612139086.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 3194295 + ... + 3196425.

It is an arithmetic number, because the mean of its divisors is an integer number (92543724).

Almost surely, 2^6809312160 is an apocalyptic number.

6809312160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6809312160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13326296256).

6809312160 is an abundant number, since it is smaller than the sum of its proper divisors (19843280352).

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

6809312160 is a wasteful number, since it uses less digits than its factorization.

6809312160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6809312160 is about 82518.5564585324. The cubic root of 6809312160 is about 1895.4008949405.

The spelling of 6809312160 in words is "six billion, eight hundred nine million, three hundred twelve thousand, one hundred sixty".