7439408241568 has 96 divisors (see below), whose sum is σ = 15741750403008. Its totient is φ = 3448118784000.

The previous prime is 7439408241511. The next prime is 7439408241637. The reversal of 7439408241568 is 8651428049347.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340449843 + ... + 340471693.

It is an arithmetic number, because the mean of its divisors is an integer number (163976566698).

It is a 1-persistent number, because it is pandigital, but 2⋅7439408241568 = 14878816483136 is not.

Almost surely, 2^{7439408241568} 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 7439408241568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7870875201504).

7439408241568 is an abundant number, since it is smaller than the sum of its proper divisors (8302342161440).

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

7439408241568 is a wasteful number, since it uses less digits than its factorization.

7439408241568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31286 (or 31278 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 61.

The spelling of 7439408241568 in words is "seven trillion, four hundred thirty-nine billion, four hundred eight million, two hundred forty-one thousand, five hundred sixty-eight".