4666060800 has 468 divisors, whose sum is σ = 17191467384. Its totient is φ = 1209139200.

The previous prime is 4666060781. The next prime is 4666060811. The reversal of 4666060800 is 80606664.

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56217559 + ... + 56217641.

Almost surely, 2^4666060800 is an apocalyptic number.

4666060800 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 4666060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8595733692).

4666060800 is an abundant number, since it is smaller than the sum of its proper divisors (12525406584).

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

4666060800 is a wasteful number, since it uses less digits than its factorization.

4666060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4666060800 is about 68308.5704725256. The cubic root of 4666060800 is about 1671.0269897128.

The spelling of 4666060800 in words is "four billion, six hundred sixty-six million, sixty thousand, eight hundred".