22364306640 has 240 divisors, whose sum is σ = 83071589328. Its totient is φ = 5356191744.

The previous prime is 22364306639. The next prime is 22364306659. The reversal of 22364306640 is 4660346322.

22364306640 is a `hidden beast` number, since 2 + 2 + 3 + 6 + 4 + 3 + 0 + 6 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 112021056 + 22252285584 = 10584^2 + 149172^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×22364306640² (a number of 22 digits) contains 22 as substring.

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 = 22364306595 and 22364306604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314032 + ... + 378608.

Almost surely, 2^22364306640 is an apocalyptic number.

22364306640 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 22364306640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41535794664).

22364306640 is an abundant number, since it is smaller than the sum of its proper divisors (60707282688).

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

22364306640 is a wasteful number, since it uses less digits than its factorization.

22364306640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64646 (or 64637 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 22364306640 in words is "twenty-two billion, three hundred sixty-four million, three hundred six thousand, six hundred forty".