6334224336 has 120 divisors (see below), whose sum is σ = 19458013536. Its totient is φ = 1907608320.

The previous prime is 6334224319. The next prime is 6334224359.

6334224336 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6334224336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245926 + ... + 270458.

Almost surely, 2^6334224336 is an apocalyptic number.

6334224336 is a gapful number since it is divisible by the number (66) 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 6334224336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729006768).

6334224336 is an abundant number, since it is smaller than the sum of its proper divisors (13123789200).

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

6334224336 is a wasteful number, since it uses less digits than its factorization.

6334224336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24721 (or 24712 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The square root of 6334224336 is about 79587.8403777864. The cubic root of 6334224336 is about 1850.2531268933.

It can be divided in two parts, 63342 and 24336, that added together give a palindrome (87678).

The spelling of 6334224336 in words is "six billion, three hundred thirty-four million, two hundred twenty-four thousand, three hundred thirty-six".