7916967168 has 144 divisors (see below), whose sum is σ = 23123330496. Its totient is φ = 2384773120.

The previous prime is 7916967137. The next prime is 7916967181. The reversal of 7916967168 is 8617696197.

It is a congruent number.

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, 1458796 + ... + 1464212.

It is an arithmetic number, because the mean of its divisors is an integer number (160578684).

Almost surely, 2^7916967168 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 7916967168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11561665248).

7916967168 is an abundant number, since it is smaller than the sum of its proper divisors (15206363328).

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

7916967168 is a wasteful number, since it uses less digits than its factorization.

7916967168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620 (or 5606 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 60.

The square root of 7916967168 is about 88977.3407559475. The cubic root of 7916967168 is about 1993.0565192675.

The spelling of 7916967168 in words is "seven billion, nine hundred sixteen million, nine hundred sixty-seven thousand, one hundred sixty-eight".