4589664768 has 200 divisors, whose sum is σ = 14754438468. Its totient is φ = 1412038656.

The previous prime is 4589664749. The next prime is 4589664773. The reversal of 4589664768 is 8674669854.

4589664768 is a `hidden beast` number, since 4 + 589 + 6 + 6 + 47 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4522293504 + 67371264 = 67248^2 + 8208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 534880 + ... + 543392.

Almost surely, 2^4589664768 is an apocalyptic number.

4589664768 is a gapful number since it is divisible by the number (48) 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 4589664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377219234).

4589664768 is an abundant number, since it is smaller than the sum of its proper divisors (10164773700).

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

4589664768 is an equidigital number, since it uses as much as digits as its factorization.

4589664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8556 (or 8531 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The square root of 4589664768 is about 67747.0646448981. The cubic root of 4589664768 is about 1661.8570169843.

The spelling of 4589664768 in words is "four billion, five hundred eighty-nine million, six hundred sixty-four thousand, seven hundred sixty-eight".