22008327264 has 864 divisors, whose sum is σ = 84701635200. Its totient is φ = 5556418560.

The previous prime is 22008327251. The next prime is 22008327269. The reversal of 22008327264 is 46272380022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22008327269) 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 143 ways as a sum of consecutive naturals, for example, 247284532 + ... + 247284620.

It is an arithmetic number, because the mean of its divisors is an integer number (98034300).

Almost surely, 2^22008327264 is an apocalyptic number.

22008327264 is a gapful number since it is divisible by the number (24) 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 22008327264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42350817600).

22008327264 is an abundant number, since it is smaller than the sum of its proper divisors (62693307936).

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

22008327264 is a wasteful number, since it uses less digits than its factorization.

22008327264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 22008327264 in words is "twenty-two billion, eight million, three hundred twenty-seven thousand, two hundred sixty-four".