4683327264 has 432 divisors, whose sum is σ = 17023982976. Its totient is φ = 1195223040.

The previous prime is 4683327239. The next prime is 4683327283. The reversal of 4683327264 is 4627233864.

4683327264 is a `hidden beast` number, since 4 + 68 + 3 + 327 + 264 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17807197 + ... + 17807459.

It is an arithmetic number, because the mean of its divisors is an integer number (39407368).

Almost surely, 2^4683327264 is an apocalyptic number.

4683327264 is a gapful number since it is divisible by the number (44) 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 4683327264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8511991488).

4683327264 is an abundant number, since it is smaller than the sum of its proper divisors (12340655712).

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

4683327264 is a wasteful number, since it uses less digits than its factorization.

4683327264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 359 counting only the distinct ones).

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

The square root of 4683327264 is about 68434.8395482886. The cubic root of 4683327264 is about 1673.0856292053.

The spelling of 4683327264 in words is "four billion, six hundred eighty-three million, three hundred twenty-seven thousand, two hundred sixty-four".