22737661440 has 320 divisors, whose sum is σ = 79776518976. Its totient is φ = 5490081792.

The previous prime is 22737661351. The next prime is 22737661447. The reversal of 22737661440 is 4416673722.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 22737661392 and 22737661401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22737661447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5289372 + ... + 5293668.

Almost surely, 2^22737661440 is an apocalyptic number.

22737661440 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 22737661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39888259488).

22737661440 is an abundant number, since it is smaller than the sum of its proper divisors (57038857536).

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

22737661440 is a wasteful number, since it uses less digits than its factorization.

22737661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4389 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 22737661440 in words is "twenty-two billion, seven hundred thirty-seven million, six hundred sixty-one thousand, four hundred forty".