6854323264 has 112 divisors (see below), whose sum is σ = 14642470080. Its totient is φ = 3173990400.

The previous prime is 6854323253. The next prime is 6854323291. The reversal of 6854323264 is 4623234586.

It is a happy number.

It is a super-2 number, since 2×6854323264² = 93963494814823227392, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6854323264.

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, 11404564 + ... + 11405164.

It is an arithmetic number, because the mean of its divisors is an integer number (130736340).

Almost surely, 2^6854323264 is an apocalyptic number.

6854323264 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 6854323264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321235040).

6854323264 is an abundant number, since it is smaller than the sum of its proper divisors (7788146816).

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

6854323264 is a wasteful number, since it uses less digits than its factorization.

6854323264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 818 counting only the distinct ones).

The product of its digits is 829440, while the sum is 43.

The square root of 6854323264 is about 82790.8404595581. The cubic root of 6854323264 is about 1899.5680702373.

The spelling of 6854323264 in words is "six billion, eight hundred fifty-four million, three hundred twenty-three thousand, two hundred sixty-four".