4668233472 has 360 divisors, whose sum is σ = 16471778400. Its totient is φ = 1286627328.

The previous prime is 4668233413. The next prime is 4668233497. The reversal of 4668233472 is 2743328664.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4208854 + ... + 4209962.

It is an arithmetic number, because the mean of its divisors is an integer number (45754940).

Almost surely, 2^4668233472 is an apocalyptic number.

4668233472 is a gapful number since it is divisible by the number (42) 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 4668233472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8235889200).

4668233472 is an abundant number, since it is smaller than the sum of its proper divisors (11803544928).

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

4668233472 is a wasteful number, since it uses less digits than its factorization.

4668233472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1150 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 4668233472 is about 68324.4719847874. The cubic root of 4668233472 is about 1671.2863112509.

The spelling of 4668233472 in words is "four billion, six hundred sixty-eight million, two hundred thirty-three thousand, four hundred seventy-two".