4233663324 has 144 divisors (see below), whose sum is σ = 11932109280. Its totient is φ = 1254942720.

The previous prime is 4233663319. The next prime is 4233663361.

4233663324 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 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 47 ways as a sum of consecutive naturals, for example, 3959862 + ... + 3960930.

It is an arithmetic number, because the mean of its divisors is an integer number (82861870).

Almost surely, 2^4233663324 is an apocalyptic number.

4233663324 is a gapful number since it is divisible by the number (44) 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 4233663324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966054640).

4233663324 is an abundant number, since it is smaller than the sum of its proper divisors (7698445956).

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

4233663324 is a wasteful number, since it uses less digits than its factorization.

4233663324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1295 counting only the distinct ones).

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

The square root of 4233663324 is about 65066.6068271583. The cubic root of 4233663324 is about 1617.7277654969.

The spelling of 4233663324 in words is "four billion, two hundred thirty-three million, six hundred sixty-three thousand, three hundred twenty-four".