6834569664 has 112 divisors (see below), whose sum is σ = 20145877920. Its totient is φ = 2030407680.

The previous prime is 6834569647. The next prime is 6834569699. The reversal of 6834569664 is 4669654386.

It is a super-2 number, since 2×6834569664² = 93422684984138145792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25174 + ... + 119594.

It is an arithmetic number, because the mean of its divisors is an integer number (179873910).

Almost surely, 2^6834569664 is an apocalyptic number.

6834569664 is a gapful number since it is divisible by the number (64) 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 6834569664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10072938960).

6834569664 is an abundant number, since it is smaller than the sum of its proper divisors (13311308256).

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

6834569664 is a wasteful number, since it uses less digits than its factorization.

6834569664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94478 (or 94468 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 57.

The square root of 6834569664 is about 82671.4561623297. The cubic root of 6834569664 is about 1897.7415144233.

The spelling of 6834569664 in words is "six billion, eight hundred thirty-four million, five hundred sixty-nine thousand, six hundred sixty-four".