8334821664 has 144 divisors (see below), whose sum is σ = 25561062072. Its totient is φ = 2560978944.

The previous prime is 8334821639. The next prime is 8334821669. The reversal of 8334821664 is 4661284338.

8334821664 is a `hidden beast` number, since 8 + 3 + 3 + 482 + 166 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4427571600 + 3907250064 = 66540^2 + 62508^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (8334821669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4181052 + ... + 4183044.

Almost surely, 2^8334821664 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 8334821664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12780531036).

8334821664 is an abundant number, since it is smaller than the sum of its proper divisors (17226240408).

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

8334821664 is a wasteful number, since it uses less digits than its factorization.

8334821664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3128 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 8334821664 is about 91295.2444763691. The cubic root of 8334821664 is about 2027.5213557097.

The spelling of 8334821664 in words is "eight billion, three hundred thirty-four million, eight hundred twenty-one thousand, six hundred sixty-four".