8068177573328 has 320 divisors, whose sum is σ = 18420535296000. Its totient is φ = 3397024604160.

The previous prime is 8068177573319. The next prime is 8068177573331. The reversal of 8068177573328 is 8233757718608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2989319723 + ... + 2989322421.

It is an arithmetic number, because the mean of its divisors is an integer number (57564172800).

Almost surely, 2^{8068177573328} 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 8068177573328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9210267648000).

8068177573328 is an abundant number, since it is smaller than the sum of its proper divisors (10352357722672).

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

8068177573328 is a wasteful number, since it uses less digits than its factorization.

8068177573328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 65.

The spelling of 8068177573328 in words is "eight trillion, sixty-eight billion, one hundred seventy-seven million, five hundred seventy-three thousand, three hundred twenty-eight".