22768835040 has 576 divisors, whose sum is σ = 93485508480. Its totient is φ = 4936826880.

The previous prime is 22768835021. The next prime is 22768835083. The reversal of 22768835040 is 4053886722.

22768835040 is a `hidden beast` number, since 2 + 2 + 7 + 68 + 83 + 504 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15290616 + ... + 15292104.

It is an arithmetic number, because the mean of its divisors is an integer number (162301230).

Almost surely, 2^22768835040 is an apocalyptic number.

22768835040 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 22768835040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46742754240).

22768835040 is an abundant number, since it is smaller than the sum of its proper divisors (70716673440).

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

22768835040 is a wasteful number, since it uses less digits than its factorization.

22768835040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 22768835040 in words is "twenty-two billion, seven hundred sixty-eight million, eight hundred thirty-five thousand, forty".