4668633666 has 64 divisors (see below), whose sum is σ = 10788111360. Its totient is φ = 1494944640.

The previous prime is 4668633661. The next prime is 4668633677. The reversal of 4668633666 is 6663368664.

It is a super-2 number, since 2×4668633666² = 43592280614617199112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4668633661) 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 31 ways as a sum of consecutive naturals, for example, 219160 + ... + 239516.

It is an arithmetic number, because the mean of its divisors is an integer number (168564240).

Almost surely, 2^4668633666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4668633666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394055680).

4668633666 is an abundant number, since it is smaller than the sum of its proper divisors (6119477694).

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

4668633666 is a wasteful number, since it uses less digits than its factorization.

4668633666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20536 (or 20530 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The square root of 4668633666 is about 68327.4005505844. The cubic root of 4668633666 is about 1671.3340680484.

The spelling of 4668633666 in words is "four billion, six hundred sixty-eight million, six hundred thirty-three thousand, six hundred sixty-six".