22064192640 has 640 divisors, whose sum is σ = 92310261120. Its totient is φ = 4916920320.

The previous prime is 22064192617. The next prime is 22064192659. The reversal of 22064192640 is 4629146022.

22064192640 is a `hidden beast` number, since 2 + 2 + 0 + 6 + 4 + 1 + 9 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 22064192595 and 22064192604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14877339 + ... + 14878821.

It is an arithmetic number, because the mean of its divisors is an integer number (144234783).

Almost surely, 2^22064192640 is an apocalyptic number.

22064192640 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 22064192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46155130560).

22064192640 is an abundant number, since it is smaller than the sum of its proper divisors (70246068480).

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

22064192640 is a wasteful number, since it uses less digits than its factorization.

22064192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 22064192640 in words is "twenty-two billion, sixty-four million, one hundred ninety-two thousand, six hundred forty".