9842816664 has 96 divisors (see below), whose sum is σ = 27725256000. Its totient is φ = 3151789056.

The previous prime is 9842816663. The next prime is 9842816729. The reversal of 9842816664 is 4666182489.

9842816664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9842816664² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9842816664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9842816663) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 187072 + ... + 233840.

It is an arithmetic number, because the mean of its divisors is an integer number (288804750).

Almost surely, 2^9842816664 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 9842816664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13862628000).

9842816664 is an abundant number, since it is smaller than the sum of its proper divisors (17882439336).

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

9842816664 is a wasteful number, since it uses less digits than its factorization.

9842816664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46897 (or 46890 counting only the distinct ones).

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

The square root of 9842816664 is about 99210.9704820994. The cubic root of 9842816664 is about 2143.0869839713.

The spelling of 9842816664 in words is "nine billion, eight hundred forty-two million, eight hundred sixteen thousand, six hundred sixty-four".