7945226160768 has 512 divisors, whose sum is σ = 25600930387200. Its totient is φ = 2411241799680.

The previous prime is 7945226160757. The next prime is 7945226160769. The reversal of 7945226160768 is 8670616225497.

7945226160768 is a `hidden beast` number, since 7 + 9 + 4 + 5 + 2 + 2 + 616 + 0 + 7 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (7945226160769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1071214596 + ... + 1071222012.

Almost surely, 2^{7945226160768} is an apocalyptic number.

7945226160768 is a gapful number since it is divisible by the number (78) 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 7945226160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12800465193600).

7945226160768 is an abundant number, since it is smaller than the sum of its proper divisors (17655704226432).

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

7945226160768 is a wasteful number, since it uses less digits than its factorization.

7945226160768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7777 (or 7759 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 7945226160768 in words is "seven trillion, nine hundred forty-five billion, two hundred twenty-six million, one hundred sixty thousand, seven hundred sixty-eight".