6323440800 has 144 divisors (see below), whose sum is σ = 20722111200. Its totient is φ = 1674839040.

The previous prime is 6323440793. The next prime is 6323440831. The reversal of 6323440800 is 80443236.

It is a super-2 number, since 2×6323440800² = 79971807102209280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 348759 + ... + 366441.

It is an arithmetic number, because the mean of its divisors is an integer number (143903550).

Almost surely, 2^6323440800 is an apocalyptic number.

6323440800 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 6323440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10361055600).

6323440800 is an abundant number, since it is smaller than the sum of its proper divisors (14398670400).

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

6323440800 is a wasteful number, since it uses less digits than its factorization.

6323440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17855 (or 17842 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 6323440800 is about 79520.0653923272. The cubic root of 6323440800 is about 1849.2025586746.

The spelling of 6323440800 in words is "six billion, three hundred twenty-three million, four hundred forty thousand, eight hundred".