21667760630712 has 288 divisors, whose sum is σ = 70803282401280. Its totient is φ = 5863235414400.

The previous prime is 21667760630653. The next prime is 21667760630713. The reversal of 21667760630712 is 21703606776612.

It is a happy number.

21667760630712 is a `hidden beast` number, since 2 + 16 + 6 + 7 + 7 + 606 + 3 + 0 + 7 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21667760630713) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 695556337 + ... + 695587487.

It is an arithmetic number, because the mean of its divisors is an integer number (245844730560).

Almost surely, 2^{21667760630712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21667760630712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35401641200640).

21667760630712 is an abundant number, since it is smaller than the sum of its proper divisors (49135521770568).

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

21667760630712 is a wasteful number, since it uses less digits than its factorization.

21667760630712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35031 (or 35005 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 21667760630712 in words is "twenty-one trillion, six hundred sixty-seven billion, seven hundred sixty million, six hundred thirty thousand, seven hundred twelve".