8068169120 has 384 divisors, whose sum is σ = 23247544320. Its totient is φ = 2612736000.

The previous prime is 8068169113. The next prime is 8068169129. The reversal of 8068169120 is 219618608.

It is not an unprimeable number, because it can be changed into a prime (8068169129) 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, 44575430 + ... + 44575610.

It is an arithmetic number, because the mean of its divisors is an integer number (60540480).

Almost surely, 2^8068169120 is an apocalyptic number.

8068169120 is a gapful number since it is divisible by the number (80) 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 8068169120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11623772160).

8068169120 is an abundant number, since it is smaller than the sum of its proper divisors (15179375200).

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

8068169120 is a wasteful number, since it uses less digits than its factorization.

8068169120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 8068169120 is about 89822.9877035940. The cubic root of 8068169120 is about 2005.6647004367.

The spelling of 8068169120 in words is "eight billion, sixty-eight million, one hundred sixty-nine thousand, one hundred twenty".