22005623640 has 384 divisors, whose sum is σ = 90224305920. Its totient is φ = 4220697600.

The previous prime is 22005623617. The next prime is 22005623641. The reversal of 22005623640 is 4632650022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22005623598 and 22005623607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22005623641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 827755 + ... + 853925.

It is an arithmetic number, because the mean of its divisors is an integer number (234959130).

Almost surely, 2^22005623640 is an apocalyptic number.

22005623640 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 22005623640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45112152960).

22005623640 is an abundant number, since it is smaller than the sum of its proper divisors (68218682280).

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

22005623640 is a wasteful number, since it uses less digits than its factorization.

22005623640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26223 (or 26212 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 22005623640 in words is "twenty-two billion, five million, six hundred twenty-three thousand, six hundred forty".