4816864320 has 224 divisors, whose sum is σ = 16717280256. Its totient is φ = 1169817600.

The previous prime is 4816864307. The next prime is 4816864331. The reversal of 4816864320 is 234686184.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501160 + ... + 510680.

Almost surely, 2^4816864320 is an apocalyptic number.

4816864320 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 4816864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8358640128).

4816864320 is an abundant number, since it is smaller than the sum of its proper divisors (11900415936).

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

4816864320 is a wasteful number, since it uses less digits than its factorization.

4816864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9589 (or 9579 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4816864320 is about 69403.6333342859. The cubic root of 4816864320 is about 1688.8385657007.

It can be divided in two parts, 4816864 and 320, that added together give a palindrome (4817184).

The spelling of 4816864320 in words is "four billion, eight hundred sixteen million, eight hundred sixty-four thousand, three hundred twenty".