4430607680 has 28 divisors (see below), whose sum is σ = 10550385300. Its totient is φ = 1772242944.

The previous prime is 4430607673. The next prime is 4430607689. The reversal of 4430607680 is 867060344.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2395515136 + 2035092544 = 48944^2 + 45112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4430607689) 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 3 ways as a sum of consecutive naturals, for example, 6922505 + ... + 6923144.

It is an arithmetic number, because the mean of its divisors is an integer number (376799475).

Almost surely, 2^4430607680 is an apocalyptic number.

4430607680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4430607680 is an abundant number, since it is smaller than the sum of its proper divisors (6119777620).

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

4430607680 is a wasteful number, since it uses less digits than its factorization.

4430607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13845666 (or 13845656 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 4430607680 is about 66562.8100368366. The cubic root of 4430607680 is about 1642.4333893989.

The spelling of 4430607680 in words is "four billion, four hundred thirty million, six hundred seven thousand, six hundred eighty".