22205443680 has 720 divisors, whose sum is σ = 92602984320. Its totient is φ = 4995551232.

The previous prime is 22205443669. The next prime is 22205443691. The reversal of 22205443680 is 8634450222.

22205443680 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 544 + 36 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (22205443669) and next prime (22205443691).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 46357681 + ... + 46358159.

It is an arithmetic number, because the mean of its divisors is an integer number (128615256).

Almost surely, 2^22205443680 is an apocalyptic number.

22205443680 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 22205443680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46301492160).

22205443680 is an abundant number, since it is smaller than the sum of its proper divisors (70397540640).

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

22205443680 is a wasteful number, since it uses less digits than its factorization.

22205443680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 22205443680 in words is "twenty-two billion, two hundred five million, four hundred forty-three thousand, six hundred eighty".