22755769344 has 660 divisors, whose sum is σ = 86403133080. Its totient is φ = 5898977280.

The previous prime is 22755769343. The next prime is 22755769391. The reversal of 22755769344 is 44396755722.

22755769344 is a `hidden beast` number, since 2 + 27 + 5 + 576 + 9 + 3 + 44 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22755769343) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 44706562 + ... + 44707070.

It is an arithmetic number, because the mean of its divisors is an integer number (130913838).

Almost surely, 2^22755769344 is an apocalyptic number.

22755769344 is a gapful number since it is divisible by the number (24) 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 22755769344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43201566540).

22755769344 is an abundant number, since it is smaller than the sum of its proper divisors (63647363736).

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

22755769344 is a wasteful number, since it uses less digits than its factorization.

22755769344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 532 counting only the distinct ones).

The product of its digits is 12700800, while the sum is 54.

The spelling of 22755769344 in words is "twenty-two billion, seven hundred fifty-five million, seven hundred sixty-nine thousand, three hundred forty-four".