22327418880 has 448 divisors, whose sum is σ = 85542851520. Its totient is φ = 5492441088.

The previous prime is 22327418849. The next prime is 22327418881. The reversal of 22327418880 is 8881472322.

22327418880 is a `hidden beast` number, since 223 + 2 + 7 + 418 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×22327418880³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22327418881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14376184 + ... + 14377736.

It is an arithmetic number, because the mean of its divisors is an integer number (190943865).

Almost surely, 2^22327418880 is an apocalyptic number.

22327418880 is a gapful number since it is divisible by the number (20) 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 22327418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42771425760).

22327418880 is an abundant number, since it is smaller than the sum of its proper divisors (63215432640).

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

22327418880 is a wasteful number, since it uses less digits than its factorization.

22327418880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 22327418880 in words is "twenty-two billion, three hundred twenty-seven million, four hundred eighteen thousand, eight hundred eighty".