4833264384 has 432 divisors, whose sum is σ = 16354044000. Its totient is φ = 1399431168.

The previous prime is 4833264361. The next prime is 4833264421. The reversal of 4833264384 is 4834623384.

4833264384 is a `hidden beast` number, since 4 + 8 + 3 + 3 + 264 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×4833264384³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32437942 + ... + 32438090.

Almost surely, 2^4833264384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4833264384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8177022000).

4833264384 is an abundant number, since it is smaller than the sum of its proper divisors (11520779616).

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

4833264384 is a wasteful number, since it uses less digits than its factorization.

4833264384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 186 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The square root of 4833264384 is about 69521.6828334873. The cubic root of 4833264384 is about 1690.7530675072.

The spelling of 4833264384 in words is "four billion, eight hundred thirty-three million, two hundred sixty-four thousand, three hundred eighty-four".