22164236640 has 864 divisors, whose sum is σ = 96340267296. Its totient is φ = 4598415360.

The previous prime is 22164236597. The next prime is 22164236669. The reversal of 22164236640 is 4663246122.

22164236640 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 4 + 2 + 3 + 6 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 22164236595 and 22164236604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66961275 + ... + 66961605.

It is an arithmetic number, because the mean of its divisors is an integer number (111504939).

Almost surely, 2^22164236640 is an apocalyptic number.

22164236640 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 22164236640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48170133648).

22164236640 is an abundant number, since it is smaller than the sum of its proper divisors (74176030656).

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

22164236640 is a wasteful number, since it uses less digits than its factorization.

22164236640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 22164236640 in words is "twenty-two billion, one hundred sixty-four million, two hundred thirty-six thousand, six hundred forty".