22172640768 has 120 divisors (see below), whose sum is σ = 64377160848. Its totient is φ = 7346368512.

The previous prime is 22172640761. The next prime is 22172640839. The reversal of 22172640768 is 86704627122.

It is a happy number.

22172640768 is a `hidden beast` number, since 2 + 217 + 26 + 407 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22172640761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 755130 + ... + 783942.

Almost surely, 2^22172640768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22172640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32188580424).

22172640768 is an abundant number, since it is smaller than the sum of its proper divisors (42204520080).

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

22172640768 is a wasteful number, since it uses less digits than its factorization.

22172640768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29004 (or 28985 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 22172640768 in words is "twenty-two billion, one hundred seventy-two million, six hundred forty thousand, seven hundred sixty-eight".