7842661106112 has 896 divisors, whose sum is σ = 27740798976000. Its totient is φ = 2170519981056.

The previous prime is 7842661106089. The next prime is 7842661106117. The reversal of 7842661106112 is 2116011662487.

7842661106112 is a `hidden beast` number, since 7 + 8 + 4 + 26 + 6 + 1 + 1 + 0 + 611 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7842661106117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3236755333 + ... + 3236757755.

Almost surely, 2^{7842661106112} is an apocalyptic number.

7842661106112 is a gapful number since it is divisible by the number (72) 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 7842661106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13870399488000).

7842661106112 is an abundant number, since it is smaller than the sum of its proper divisors (19898137869888).

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

7842661106112 is a wasteful number, since it uses less digits than its factorization.

7842661106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

Adding to 7842661106112 its reverse (2116011662487), we get a palindrome (9958672768599).

The spelling of 7842661106112 in words is "seven trillion, eight hundred forty-two billion, six hundred sixty-one million, one hundred six thousand, one hundred twelve".