4432363632 has 240 divisors, whose sum is σ = 13520563200. Its totient is φ = 1388741760.

The previous prime is 4432363631. The next prime is 4432363669. The reversal of 4432363632 is 2363632344.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4432363631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24761719 + ... + 24761897.

It is an arithmetic number, because the mean of its divisors is an integer number (56335680).

Almost surely, 2^4432363632 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 4432363632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6760281600).

4432363632 is an abundant number, since it is smaller than the sum of its proper divisors (9088199568).

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

4432363632 is a wasteful number, since it uses less digits than its factorization.

4432363632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 258 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The square root of 4432363632 is about 66575.9989185292. The cubic root of 4432363632 is about 1642.6503388171.

Adding to 4432363632 its reverse (2363632344), we get a palindrome (6795995976).

The spelling of 4432363632 in words is "four billion, four hundred thirty-two million, three hundred sixty-three thousand, six hundred thirty-two".