6809564160 has 704 divisors, whose sum is σ = 28675031040. Its totient is φ = 1499627520.

The previous prime is 6809564159. The next prime is 6809564213. The reversal of 6809564160 is 614659086.

6809564160 is a `hidden beast` number, since 6 + 80 + 9 + 564 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29997967 + ... + 29998193.

Almost surely, 2^6809564160 is an apocalyptic number.

6809564160 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 6809564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14337515520).

6809564160 is an abundant number, since it is smaller than the sum of its proper divisors (21865466880).

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

6809564160 is a wasteful number, since it uses less digits than its factorization.

6809564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6809564160 is about 82520.0833736855. The cubic root of 6809564160 is about 1895.4242764080.

The spelling of 6809564160 in words is "six billion, eight hundred nine million, five hundred sixty-four thousand, one hundred sixty".