22320467568 has 480 divisors, whose sum is σ = 77072067072. Its totient is φ = 6121267200.

The previous prime is 22320467549. The next prime is 22320467621. The reversal of 22320467568 is 86576402322.

22320467568 is a `hidden beast` number, since 2 + 2 + 3 + 20 + 4 + 67 + 568 = 666.

It is a super-3 number, since 3×22320467568³ (a number of 32 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 92615928 + ... + 92616168.

Almost surely, 2^22320467568 is an apocalyptic number.

22320467568 is a gapful number since it is divisible by the number (28) 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 22320467568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38536033536).

22320467568 is an abundant number, since it is smaller than the sum of its proper divisors (54751599504).

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

22320467568 is a wasteful number, since it uses less digits than its factorization.

22320467568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 22320467568 in words is "twenty-two billion, three hundred twenty million, four hundred sixty-seven thousand, five hundred sixty-eight".