22827843360 has 768 divisors, whose sum is σ = 97716326400. Its totient is φ = 4861181952.

The previous prime is 22827843317. The next prime is 22827843361. The reversal of 22827843360 is 6334872822.

22827843360 is a `hidden beast` number, since 2 + 282 + 7 + 8 + 4 + 3 + 360 = 666.

It is a super-2 number, since 2×22827843360² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22827843361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38495224 + ... + 38495816.

It is an arithmetic number, because the mean of its divisors is an integer number (127234800).

Almost surely, 2^22827843360 is an apocalyptic number.

22827843360 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 22827843360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48858163200).

22827843360 is an abundant number, since it is smaller than the sum of its proper divisors (74888483040).

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

22827843360 is a wasteful number, since it uses less digits than its factorization.

22827843360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

It can be divided in two parts, 2282784 and 3360, that added together give a square (2286144 = 1512²).

The spelling of 22827843360 in words is "twenty-two billion, eight hundred twenty-seven million, eight hundred forty-three thousand, three hundred sixty".