6859565664 has 144 divisors (see below), whose sum is σ = 20988446976. Its totient is φ = 1955923200.

The previous prime is 6859565653. The next prime is 6859565681. The reversal of 6859565664 is 4665659586.

It is a junction number, because it is equal to n+sod(n) for n = 6859565598 and 6859565607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2967069 + ... + 2969379.

It is an arithmetic number, because the mean of its divisors is an integer number (145753104).

Almost surely, 2^6859565664 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 6859565664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494223488).

6859565664 is an abundant number, since it is smaller than the sum of its proper divisors (14128881312).

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

6859565664 is a wasteful number, since it uses less digits than its factorization.

6859565664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2954 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 60.

The square root of 6859565664 is about 82822.4949153308. The cubic root of 6859565664 is about 1900.0522297738.

The spelling of 6859565664 in words is "six billion, eight hundred fifty-nine million, five hundred sixty-five thousand, six hundred sixty-four".