4834816000 has 416 divisors, whose sum is σ = 14720209920. Its totient is φ = 1548288000.

The previous prime is 4834815989. The next prime is 4834816001. The reversal of 4834816000 is 6184384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4834816001) 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, 68095965 + ... + 68096035.

It is an arithmetic number, because the mean of its divisors is an integer number (35385120).

Almost surely, 2^4834816000 is an apocalyptic number.

4834816000 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 4834816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360104960).

4834816000 is an abundant number, since it is smaller than the sum of its proper divisors (9885393920).

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

4834816000 is an equidigital number, since it uses as much as digits as its factorization.

4834816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 4834816000 is about 69532.8411615691. The cubic root of 4834816000 is about 1690.9339748350.

The spelling of 4834816000 in words is "four billion, eight hundred thirty-four million, eight hundred sixteen thousand".