22769745768 has 576 divisors, whose sum is σ = 83990200320. Its totient is φ = 5407430400.

The previous prime is 22769745751. The next prime is 22769745769. The reversal of 22769745768 is 86754796722.

22769745768 is a `hidden beast` number, since 22 + 76 + 97 + 457 + 6 + 8 = 666.

It is a super-2 number, since 2×22769745768² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (22769745769) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62042721 + ... + 62043087.

It is an arithmetic number, because the mean of its divisors is an integer number (145816320).

Almost surely, 2^22769745768 is an apocalyptic number.

22769745768 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 22769745768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41995100160).

22769745768 is an abundant number, since it is smaller than the sum of its proper divisors (61220454552).

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

22769745768 is a wasteful number, since it uses less digits than its factorization.

22769745768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 440 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 22769745768 in words is "twenty-two billion, seven hundred sixty-nine million, seven hundred forty-five thousand, seven hundred sixty-eight".