22667787360 has 768 divisors, whose sum is σ = 88179840000. Its totient is φ = 5415911424.

The previous prime is 22667787319. The next prime is 22667787361. The reversal of 22667787360 is 6378776622.

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

It is a junction number, because it is equal to n+sod(n) for n = 22667787297 and 22667787306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22667787361) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 211848427 + ... + 211848533.

It is an arithmetic number, because the mean of its divisors is an integer number (114817500).

Almost surely, 2^22667787360 is an apocalyptic number.

22667787360 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 22667787360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44089920000).

22667787360 is an abundant number, since it is smaller than the sum of its proper divisors (65512052640).

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

22667787360 is a wasteful number, since it uses less digits than its factorization.

22667787360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 22667787360 in words is "twenty-two billion, six hundred sixty-seven million, seven hundred eighty-seven thousand, three hundred sixty".