7983158725440 has 504 divisors, whose sum is σ = 29099977022688. Its totient is φ = 2007606988800.

The previous prime is 7983158725439. The next prime is 7983158725511. The reversal of 7983158725440 is 445278513897.

7983158725440 is a `hidden beast` number, since 7 + 9 + 8 + 3 + 1 + 5 + 87 + 2 + 544 + 0 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 104111115 + ... + 104187765.

Almost surely, 2^{7983158725440} 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 7983158725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14549988511344).

7983158725440 is an abundant number, since it is smaller than the sum of its proper divisors (21116818297248).

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

7983158725440 is a wasteful number, since it uses less digits than its factorization.

7983158725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76775 (or 76733 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 7983158725440 in words is "seven trillion, nine hundred eighty-three billion, one hundred fifty-eight million, seven hundred twenty-five thousand, four hundred forty".