8000768004000 has 384 divisors, whose sum is σ = 27851273259264. Its totient is φ = 2000875520000.

The previous prime is 8000768003897. The next prime is 8000768004001. The reversal of 8000768004000 is 4008670008.

It is not an unprimeable number, because it can be changed into a prime (8000768004001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57254215 + ... + 57393785.

It is an arithmetic number, because the mean of its divisors is an integer number (72529357446).

Almost surely, 2^{8000768004000} is an apocalyptic number.

8000768004000 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 8000768004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13925636629632).

8000768004000 is an abundant number, since it is smaller than the sum of its proper divisors (19850505255264).

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

8000768004000 is a wasteful number, since it uses less digits than its factorization.

8000768004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139897 (or 139879 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 8000768004000 in words is "eight trillion, seven hundred sixty-eight million, four thousand".