8022321216 has 448 divisors, whose sum is σ = 30744322560. Its totient is φ = 1990656000.

The previous prime is 8022321163. The next prime is 8022321217. The reversal of 8022321216 is 6121232208.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 8022321216.

It is not an unprimeable number, because it can be changed into a prime (8022321217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2671716 + ... + 2674716.

It is an arithmetic number, because the mean of its divisors is an integer number (68625720).

Almost surely, 2^8022321216 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 8022321216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15372161280).

8022321216 is an abundant number, since it is smaller than the sum of its proper divisors (22722001344).

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

8022321216 is a wasteful number, since it uses less digits than its factorization.

8022321216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8022321216 is about 89567.4115736298. The cubic root of 8022321216 is about 2001.8583740215.

The spelling of 8022321216 in words is "eight billion, twenty-two million, three hundred twenty-one thousand, two hundred sixteen".