4839744000 has 640 divisors, whose sum is σ = 19875727872. Its totient is φ = 1017446400.

The previous prime is 4839743971. The next prime is 4839744023. The reversal of 4839744000 is 4479384.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4839744000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17471862 + ... + 17472138.

Almost surely, 2^4839744000 is an apocalyptic number.

4839744000 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 4839744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9937863936).

4839744000 is an abundant number, since it is smaller than the sum of its proper divisors (15035983872).

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

4839744000 is a wasteful number, since it uses less digits than its factorization.

4839744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4839744000 is about 69568.2686287362. The cubic root of 4839744000 is about 1691.5082878357.

The spelling of 4839744000 in words is "four billion, eight hundred thirty-nine million, seven hundred forty-four thousand".