21822704640 has 704 divisors, whose sum is σ = 86025093120. Its totient is φ = 5202247680.

The previous prime is 21822704639. The next prime is 21822704719. The reversal of 21822704640 is 4640722812.

21822704640 is a `hidden beast` number, since 2 + 1 + 8 + 2 + 2 + 7 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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 = 21822704595 and 21822704604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171832257 + ... + 171832383.

Almost surely, 2^21822704640 is an apocalyptic number.

21822704640 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 21822704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43012546560).

21822704640 is an abundant number, since it is smaller than the sum of its proper divisors (64202388480).

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

21822704640 is a wasteful number, since it uses less digits than its factorization.

21822704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 21822704640 in words is "twenty-one billion, eight hundred twenty-two million, seven hundred four thousand, six hundred forty".