22784727168 has 640 divisors, whose sum is σ = 81457200000. Its totient is φ = 6315853824.

The previous prime is 22784727157. The next prime is 22784727181. The reversal of 22784727168 is 86172748722.

22784727168 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 472 + 7 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 152917558 + ... + 152917706.

It is an arithmetic number, because the mean of its divisors is an integer number (127276875).

Almost surely, 2^22784727168 is an apocalyptic number.

22784727168 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 22784727168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40728600000).

22784727168 is an abundant number, since it is smaller than the sum of its proper divisors (58672472832).

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

22784727168 is an equidigital number, since it uses as much as digits as its factorization.

22784727168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 204 counting only the distinct ones).

The product of its digits is 4214784, while the sum is 54.

The spelling of 22784727168 in words is "twenty-two billion, seven hundred eighty-four million, seven hundred twenty-seven thousand, one hundred sixty-eight".