4664481984 has 112 divisors (see below), whose sum is σ = 13746723840. Its totient is φ = 1550972160.

The previous prime is 4664481967. The next prime is 4664481989. The reversal of 4664481984 is 4891844664.

4664481984 is a `hidden beast` number, since 4 + 6 + 6 + 448 + 198 + 4 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 4664481984.

It is not an unprimeable number, because it can be changed into a prime (4664481989) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 741637 + ... + 747899.

Almost surely, 2^4664481984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4664481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873361920).

4664481984 is an abundant number, since it is smaller than the sum of its proper divisors (9082241856).

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

4664481984 is a wasteful number, since it uses less digits than its factorization.

4664481984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715 (or 6699 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 4664481984 is about 68297.0129947130. The cubic root of 4664481984 is about 1670.8384979724.

The spelling of 4664481984 in words is "four billion, six hundred sixty-four million, four hundred eighty-one thousand, nine hundred eighty-four".