7842135120966 has 12 divisors (see below), whose sum is σ = 16991292762132. Its totient is φ = 2614045040316.

The previous prime is 7842135120943. The next prime is 7842135121019. The reversal of 7842135120966 is 6690215312487.

It is a happy number.

7842135120966 is a `hidden beast` number, since 7 + 8 + 4 + 21 + 351 + 209 + 66 = 666.

It is a super-3 number, since 3×7842135120966³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 217837086676 + ... + 217837086711.

It is an arithmetic number, because the mean of its divisors is an integer number (1415941063511).

It is a 2-persistent number, because it is pandigital, and so is 2⋅7842135120966 = 15684270241932, but 3⋅7842135120966 = 23526405362898 is not.

Almost surely, 2^{7842135120966} is an apocalyptic number.

7842135120966 is an abundant number, since it is smaller than the sum of its proper divisors (9149157641166).

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

7842135120966 is a wasteful number, since it uses less digits than its factorization.

7842135120966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435674173395 (or 435674173392 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 7842135120966 in words is "seven trillion, eight hundred forty-two billion, one hundred thirty-five million, one hundred twenty thousand, nine hundred sixty-six".