7945959168 has 432 divisors, whose sum is σ = 28311444000. Its totient is φ = 2189279232.

The previous prime is 7945959143. The next prime is 7945959173. The reversal of 7945959168 is 8619595497.

7945959168 is a `hidden beast` number, since 79 + 459 + 59 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9821548 + ... + 9822356.

It is an arithmetic number, because the mean of its divisors is an integer number (65535750).

Almost surely, 2^7945959168 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 7945959168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14155722000).

7945959168 is an abundant number, since it is smaller than the sum of its proper divisors (20365484832).

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

7945959168 is a wasteful number, since it uses less digits than its factorization.

7945959168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 850 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 63.

The square root of 7945959168 is about 89140.1097598606. The cubic root of 7945959168 is about 1995.4864187884.

The spelling of 7945959168 in words is "seven billion, nine hundred forty-five million, nine hundred fifty-nine thousand, one hundred sixty-eight".