4432618080 has 960 divisors, whose sum is σ = 18968463360. Its totient is φ = 962150400.

The previous prime is 4432618079. The next prime is 4432618087. The reversal of 4432618080 is 808162344.

4432618080 is a `hidden beast` number, since 4 + 4 + 32 + 618 + 0 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4432618087) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 75129091 + ... + 75129149.

It is an arithmetic number, because the mean of its divisors is an integer number (19758816).

Almost surely, 2^4432618080 is an apocalyptic number.

4432618080 is a gapful number since it is divisible by the number (40) 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 4432618080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9484231680).

4432618080 is an abundant number, since it is smaller than the sum of its proper divisors (14535845280).

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

4432618080 is a wasteful number, since it uses less digits than its factorization.

4432618080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4432618080 is about 66577.9098500396. The cubic root of 4432618080 is about 1642.6817713386.

The spelling of 4432618080 in words is "four billion, four hundred thirty-two million, six hundred eighteen thousand, eighty".