4684089600 has 216 divisors, whose sum is σ = 17176713120. Its totient is φ = 1249044480.

The previous prime is 4684089583. The next prime is 4684089623. The reversal of 4684089600 is 69804864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159247 + ... + 186353.

It is an arithmetic number, because the mean of its divisors is an integer number (79521820).

Almost surely, 2^4684089600 is an apocalyptic number.

4684089600 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 4684089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8588356560).

4684089600 is an abundant number, since it is smaller than the sum of its proper divisors (12492623520).

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

4684089600 is a wasteful number, since it uses less digits than its factorization.

4684089600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27142 (or 27117 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4684089600 is about 68440.4091162524. The cubic root of 4684089600 is about 1673.1764039997.

The spelling of 4684089600 in words is "four billion, six hundred eighty-four million, eighty-nine thousand, six hundred".