9444829680 has 240 divisors, whose sum is σ = 37264552416. Its totient is φ = 2113505280.

The previous prime is 9444829673. The next prime is 9444829697. The reversal of 9444829680 is 869284449.

9444829680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57094 + ... + 148826.

Almost surely, 2^9444829680 is an apocalyptic number.

9444829680 is a gapful number since it is divisible by the number (90) 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 9444829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18632276208).

9444829680 is an abundant number, since it is smaller than the sum of its proper divisors (27819722736).

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

9444829680 is a wasteful number, since it uses less digits than its factorization.

9444829680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91776 (or 91767 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 9444829680 is about 97184.5135811257. The cubic root of 9444829680 is about 2113.8039747862.

The spelling of 9444829680 in words is "nine billion, four hundred forty-four million, eight hundred twenty-nine thousand, six hundred eighty".