22327320960 has 384 divisors, whose sum is σ = 90960629760. Its totient is φ = 4938485760.

The previous prime is 22327320947. The next prime is 22327320997. The reversal of 22327320960 is 6902372322.

22327320960 is a `hidden beast` number, since 2 + 2 + 327 + 320 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×22327320960³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1240989 + ... + 1258851.

It is an arithmetic number, because the mean of its divisors is an integer number (236876640).

Almost surely, 2^22327320960 is an apocalyptic number.

22327320960 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 22327320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45480314880).

22327320960 is an abundant number, since it is smaller than the sum of its proper divisors (68633308800).

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

22327320960 is a wasteful number, since it uses less digits than its factorization.

22327320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17926 (or 17911 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 22327320960 in words is "twenty-two billion, three hundred twenty-seven million, three hundred twenty thousand, nine hundred sixty".