22842787968 has 1280 divisors, whose sum is σ = 95544852480. Its totient is φ = 5225472000.

The previous prime is 22842787949. The next prime is 22842787991. The reversal of 22842787968 is 86978724822.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 321729373 + ... + 321729443.

It is an arithmetic number, because the mean of its divisors is an integer number (74644416).

Almost surely, 2^22842787968 is an apocalyptic number.

22842787968 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 22842787968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47772426240).

22842787968 is an abundant number, since it is smaller than the sum of its proper divisors (72702064512).

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

22842787968 is a wasteful number, since it uses less digits than its factorization.

22842787968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 22842787968 in words is "twenty-two billion, eight hundred forty-two million, seven hundred eighty-seven thousand, nine hundred sixty-eight".