4668789600 has 216 divisors, whose sum is σ = 16697025072. Its totient is φ = 1227340800.

The previous prime is 4668789599. The next prime is 4668789607. The reversal of 4668789600 is 69878664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4668789607) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 506634 + ... + 515766.

It is an arithmetic number, because the mean of its divisors is an integer number (77301042).

Almost surely, 2^4668789600 is an apocalyptic number.

4668789600 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 4668789600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8348512536).

4668789600 is an abundant number, since it is smaller than the sum of its proper divisors (12028235472).

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

4668789600 is a wasteful number, since it uses less digits than its factorization.

4668789600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9230 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 4668789600 is about 68328.5416206141. The cubic root of 4668789600 is about 1671.3526755557.

The spelling of 4668789600 in words is "four billion, six hundred sixty-eight million, seven hundred eighty-nine thousand, six hundred".