22768542720 has 1760 divisors, whose sum is σ = 109568802816. Its totient is φ = 4379443200.

The previous prime is 22768542661. The next prime is 22768542749. The reversal of 22768542720 is 2724586722.

22768542720 is a `hidden beast` number, since 2 + 27 + 68 + 542 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 734469105 + ... + 734469135.

Almost surely, 2^22768542720 is an apocalyptic number.

22768542720 is a gapful number since it is divisible by the number (20) 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 22768542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54784401408).

22768542720 is an abundant number, since it is smaller than the sum of its proper divisors (86800260096).

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

22768542720 is a wasteful number, since it uses less digits than its factorization.

22768542720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 22768542720 in words is "twenty-two billion, seven hundred sixty-eight million, five hundred forty-two thousand, seven hundred twenty".