22665424320 has 1344 divisors, whose sum is σ = 105409105920. Its totient is φ = 4528742400.

The previous prime is 22665424319. The next prime is 22665424333. The reversal of 22665424320 is 2342456622.

22665424320 is a `hidden beast` number, since 2 + 266 + 54 + 24 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 144365682 + ... + 144365838.

Almost surely, 2^22665424320 is an apocalyptic number.

22665424320 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 22665424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52704552960).

22665424320 is an abundant number, since it is smaller than the sum of its proper divisors (82743681600).

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

22665424320 is a wasteful number, since it uses less digits than its factorization.

22665424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

It can be divided in two parts, 22665 and 424320, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 22665424320 in words is "twenty-two billion, six hundred sixty-five million, four hundred twenty-four thousand, three hundred twenty".