4320468000 has 288 divisors, whose sum is σ = 15695551872. Its totient is φ = 1124928000.

The previous prime is 4320467993. The next prime is 4320468023. The reversal of 4320468000 is 8640234.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1546605 + ... + 1549395.

It is an arithmetic number, because the mean of its divisors is an integer number (54498444).

Almost surely, 2^4320468000 is an apocalyptic number.

4320468000 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 4320468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7847775936).

4320468000 is an abundant number, since it is smaller than the sum of its proper divisors (11375083872).

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

4320468000 is a wasteful number, since it uses less digits than its factorization.

4320468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4320468000 is about 65730.2670008269. The cubic root of 4320468000 is about 1628.7093802150.

The spelling of 4320468000 in words is "four billion, three hundred twenty million, four hundred sixty-eight thousand".