4682467584 has 108 divisors (see below), whose sum is σ = 13536441100. Its totient is φ = 1556692992.

The previous prime is 4682467579. The next prime is 4682467589. The reversal of 4682467584 is 4857642864.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4682467579) and next prime (4682467589).

It can be written as a sum of positive squares in 2 ways, for example, as 2732361984 + 1950105600 = 52272^2 + 44160^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4682467584.

It is not an unprimeable number, because it can be changed into a prime (4682467589) 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 11 ways as a sum of consecutive naturals, for example, 939852 + ... + 944820.

Almost surely, 2^4682467584 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 4682467584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768220550).

4682467584 is an abundant number, since it is smaller than the sum of its proper divisors (8853973516).

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

4682467584 is a wasteful number, since it uses less digits than its factorization.

4682467584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5400 (or 5383 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The square root of 4682467584 is about 68428.5582487312. The cubic root of 4682467584 is about 1672.9832514022.

The spelling of 4682467584 in words is "four billion, six hundred eighty-two million, four hundred sixty-seven thousand, five hundred eighty-four".