22065488640 has 1008 divisors, whose sum is σ = 91204571808. Its totient is φ = 5064228864.

The previous prime is 22065488611. The next prime is 22065488681. The reversal of 22065488640 is 4688456022.

22065488640 is a `hidden beast` number, since 2 + 20 + 6 + 548 + 86 + 4 + 0 = 666.

It is a super-3 number, since 3×22065488640³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 206219467 + ... + 206219573.

It is an arithmetic number, because the mean of its divisors is an integer number (90480726).

Almost surely, 2^22065488640 is an apocalyptic number.

22065488640 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 22065488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45602285904).

22065488640 is an abundant number, since it is smaller than the sum of its proper divisors (69139083168).

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

22065488640 is a wasteful number, since it uses less digits than its factorization.

22065488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 22065488640 in words is "twenty-two billion, sixty-five million, four hundred eighty-eight thousand, six hundred forty".