22701264768 has 320 divisors, whose sum is σ = 83152497120. Its totient is φ = 5986897920.

The previous prime is 22701264767. The next prime is 22701264779. The reversal of 22701264768 is 86746210722.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22701264767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 931458 + ... + 955518.

Almost surely, 2^22701264768 is an apocalyptic number.

22701264768 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 22701264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41576248560).

22701264768 is an abundant number, since it is smaller than the sum of its proper divisors (60451232352).

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

22701264768 is a wasteful number, since it uses less digits than its factorization.

22701264768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24107 (or 24086 counting only the distinct ones).

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

The spelling of 22701264768 in words is "twenty-two billion, seven hundred one million, two hundred sixty-four thousand, seven hundred sixty-eight".