6304224036 has 96 divisors (see below), whose sum is σ = 17051610240. Its totient is φ = 1797811200.

The previous prime is 6304224007. The next prime is 6304224061.

It is a happy number.

6304224036 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6304223994 and 6304224012.

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 31 ways as a sum of consecutive naturals, for example, 643656 + ... + 653376.

It is an arithmetic number, because the mean of its divisors is an integer number (177620940).

Almost surely, 2^6304224036 is an apocalyptic number.

6304224036 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 6304224036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8525805120).

6304224036 is an abundant number, since it is smaller than the sum of its proper divisors (10747386204).

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

6304224036 is a wasteful number, since it uses less digits than its factorization.

6304224036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9790 (or 9754 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 6304224036 is about 79399.1437989101. The cubic root of 6304224036 is about 1847.3274325362.

It can be divided in two parts, 63042 and 24036, that added together give a palindrome (87078).

The spelling of 6304224036 in words is "six billion, three hundred four million, two hundred twenty-four thousand, thirty-six".