22018832640 has 504 divisors, whose sum is σ = 90400298688. Its totient is φ = 5031383040.

The previous prime is 22018832617. The next prime is 22018832699. The reversal of 22018832640 is 4623881022.

22018832640 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 8 + 8 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 = 22018832595 and 22018832604.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6530155 + ... + 6533525.

It is an arithmetic number, because the mean of its divisors is an integer number (179365672).

Almost surely, 2^22018832640 is an apocalyptic number.

22018832640 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 22018832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45200149344).

22018832640 is an abundant number, since it is smaller than the sum of its proper divisors (68381466048).

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

22018832640 is an frugal number, since it uses more digits than its factorization.

22018832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 22018832640 in words is "twenty-two billion, eighteen million, eight hundred thirty-two thousand, six hundred forty".