4066300800 has 288 divisors, whose sum is σ = 14590985760. Its totient is φ = 1078272000.

The previous prime is 4066300793. The next prime is 4066300807. The reversal of 4066300800 is 80036604.

4066300800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4066300793) and next prime (4066300807).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4066300807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7804540 + ... + 7805060.

It is an arithmetic number, because the mean of its divisors is an integer number (50663145).

Almost surely, 2^4066300800 is an apocalyptic number.

4066300800 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 4066300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7295492880).

4066300800 is an abundant number, since it is smaller than the sum of its proper divisors (10524684960).

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

4066300800 is a wasteful number, since it uses less digits than its factorization.

4066300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4066300800 is about 63767.5528776195. The cubic root of 4066300800 is about 1596.1235323757.

The spelling of 4066300800 in words is "four billion, sixty-six million, three hundred thousand, eight hundred".