4466728000 has 336 divisors, whose sum is σ = 13220468352. Its totient is φ = 1464192000.

The previous prime is 4466727919. The next prime is 4466728009. The reversal of 4466728000 is 8276644.

It is not an unprimeable number, because it can be changed into a prime (4466728009) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 53815959 + ... + 53816041.

It is an arithmetic number, because the mean of its divisors is an integer number (39346632).

Almost surely, 2^4466728000 is an apocalyptic number.

4466728000 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 4466728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6610234176).

4466728000 is an abundant number, since it is smaller than the sum of its proper divisors (8753740352).

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

4466728000 is an equidigital number, since it uses as much as digits as its factorization.

4466728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 4466728000 is about 66833.5843719309. The cubic root of 4466728000 is about 1646.8846020201.

The spelling of 4466728000 in words is "four billion, four hundred sixty-six million, seven hundred twenty-eight thousand".