7958320940416 has 256 divisors, whose sum is σ = 21478164480000. Its totient is φ = 2842694092800.

The previous prime is 7958320940407. The next prime is 7958320940417. The reversal of 7958320940416 is 6140490238597.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7958320940417) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5119735 + ... + 6490633.

It is an arithmetic number, because the mean of its divisors is an integer number (83899080000).

It is a 1-persistent number, because it is pandigital, but 2⋅7958320940416 = 15916641880832 is not.

Almost surely, 2^{7958320940416} is an apocalyptic number.

7958320940416 is a gapful number since it is divisible by the number (76) 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 7958320940416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10739082240000).

7958320940416 is an abundant number, since it is smaller than the sum of its proper divisors (13519843539584).

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

7958320940416 is a wasteful number, since it uses less digits than its factorization.

7958320940416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370981 (or 1370969 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 7958320940416 in words is "seven trillion, nine hundred fifty-eight billion, three hundred twenty million, nine hundred forty thousand, four hundred sixteen".