4832744000 has 224 divisors, whose sum is σ = 13776472320. Its totient is φ = 1645056000.

The previous prime is 4832743963. The next prime is 4832744017. The reversal of 4832744000 is 4472384.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11815796 + ... + 11816204.

Almost surely, 2^4832744000 is an apocalyptic number.

4832744000 is a gapful number since it is divisible by the number (40) 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 4832744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888236160).

4832744000 is an abundant number, since it is smaller than the sum of its proper divisors (8943728320).

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

4832744000 is a wasteful number, since it uses less digits than its factorization.

4832744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 4832744000 is about 69517.9401305879. The cubic root of 4832744000 is about 1690.6923857848.

The spelling of 4832744000 in words is "four billion, eight hundred thirty-two million, seven hundred forty-four thousand".