7105582942464 has 144 divisors (see below), whose sum is σ = 19275490684800. Its totient is φ = 2322938462208.

The previous prime is 7105582942439. The next prime is 7105582942483. The reversal of 7105582942464 is 4642492855017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109420597 + ... + 109485515.

It is an arithmetic number, because the mean of its divisors is an integer number (133857574200).

Almost surely, 2^{7105582942464} 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 7105582942464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9637745342400).

7105582942464 is an abundant number, since it is smaller than the sum of its proper divisors (12169907742336).

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

7105582942464 is a wasteful number, since it uses less digits than its factorization.

7105582942464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67680 (or 67666 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 7105582942464 in words is "seven trillion, one hundred five billion, five hundred eighty-two million, nine hundred forty-two thousand, four hundred sixty-four".