7065584242112 has 112 divisors (see below), whose sum is σ = 16120629866880. Its totient is φ = 3038773939200.

The previous prime is 7065584242111. The next prime is 7065584242127. The reversal of 7065584242112 is 2112424855607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7065584242111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10329287 + ... + 10992057.

It is an arithmetic number, because the mean of its divisors is an integer number (143934195240).

Almost surely, 2^{7065584242112} 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 7065584242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060314933440).

7065584242112 is an abundant number, since it is smaller than the sum of its proper divisors (9055045624768).

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

7065584242112 is a wasteful number, since it uses less digits than its factorization.

7065584242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663610 (or 663600 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 47.

The spelling of 7065584242112 in words is "seven trillion, sixty-five billion, five hundred eighty-four million, two hundred forty-two thousand, one hundred twelve".