4833416832 has 256 divisors, whose sum is σ = 13874872320. Its totient is φ = 1488015360.

The previous prime is 4833416813. The next prime is 4833416839. The reversal of 4833416832 is 2386143384.

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

It is not an unprimeable number, because it can be changed into a prime (4833416839) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29652783 + ... + 29652945.

It is an arithmetic number, because the mean of its divisors is an integer number (54198720).

Almost surely, 2^4833416832 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 4833416832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937436160).

4833416832 is an abundant number, since it is smaller than the sum of its proper divisors (9041455488).

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

4833416832 is a wasteful number, since it uses less digits than its factorization.

4833416832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 4833416832 is about 69522.7792309830. The cubic root of 4833416832 is about 1690.7708435686.

The spelling of 4833416832 in words is "four billion, eight hundred thirty-three million, four hundred sixteen thousand, eight hundred thirty-two".