4668303360 has 384 divisors, whose sum is σ = 18086664960. Its totient is φ = 1003487232.

The previous prime is 4668303329. The next prime is 4668303373. The reversal of 4668303360 is 633038664.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3655042 + ... + 3656318.

It is an arithmetic number, because the mean of its divisors is an integer number (47100690).

Almost surely, 2^4668303360 is an apocalyptic number.

4668303360 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 4668303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9043332480).

4668303360 is an abundant number, since it is smaller than the sum of its proper divisors (13418361600).

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

4668303360 is a wasteful number, since it uses less digits than its factorization.

4668303360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The square root of 4668303360 is about 68324.9834248059. The cubic root of 4668303360 is about 1671.2946514703.

The spelling of 4668303360 in words is "four billion, six hundred sixty-eight million, three hundred three thousand, three hundred sixty".