4666255200 has 432 divisors, whose sum is σ = 17713397520. Its totient is φ = 1151631360.

The previous prime is 4666255199. The next prime is 4666255211. The reversal of 4666255200 is 25526664.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 8200516 + ... + 8201084.

It is an arithmetic number, because the mean of its divisors is an integer number (41003235).

Almost surely, 2^4666255200 is an apocalyptic number.

4666255200 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 4666255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8856698760).

4666255200 is an abundant number, since it is smaller than the sum of its proper divisors (13047142320).

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

4666255200 is a wasteful number, since it uses less digits than its factorization.

4666255200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 4666255200 is about 68309.9934123844. The cubic root of 4666255200 is about 1671.0501958068.

The spelling of 4666255200 in words is "four billion, six hundred sixty-six million, two hundred fifty-five thousand, two hundred".