7905621168 has 160 divisors (see below), whose sum is σ = 22998528000. Its totient is φ = 2599893504.

The previous prime is 7905621151. The next prime is 7905621173. The reversal of 7905621168 is 8611265097.

7905621168 is a `hidden beast` number, since 7 + 9 + 0 + 5 + 621 + 16 + 8 = 666.

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 31 ways as a sum of consecutive naturals, for example, 13197733 + ... + 13198331.

It is an arithmetic number, because the mean of its divisors is an integer number (143740800).

Almost surely, 2^7905621168 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 7905621168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499264000).

7905621168 is an abundant number, since it is smaller than the sum of its proper divisors (15092906832).

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

7905621168 is a wasteful number, since it uses less digits than its factorization.

7905621168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 7905621168 is about 88913.5600906858. The cubic root of 7905621168 is about 1992.1039646711.

The spelling of 7905621168 in words is "seven billion, nine hundred five million, six hundred twenty-one thousand, one hundred sixty-eight".