4518432864 has 288 divisors, whose sum is σ = 14863080960. Its totient is φ = 1287705600.

The previous prime is 4518432833. The next prime is 4518432889. The reversal of 4518432864 is 4682348154.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16311894 + ... + 16312170.

It is an arithmetic number, because the mean of its divisors is an integer number (51607920).

Almost surely, 2^4518432864 is an apocalyptic number.

4518432864 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 4518432864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7431540480).

4518432864 is an abundant number, since it is smaller than the sum of its proper divisors (10344648096).

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

4518432864 is a wasteful number, since it uses less digits than its factorization.

4518432864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 583 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The square root of 4518432864 is about 67219.2893744050. The cubic root of 4518432864 is about 1653.2147748550.

The spelling of 4518432864 in words is "four billion, five hundred eighteen million, four hundred thirty-two thousand, eight hundred sixty-four".