9005206468768 has 48 divisors (see below), whose sum is σ = 18343309692960. Its totient is φ = 4346638329600.

The previous prime is 9005206468763. The next prime is 9005206468771. The reversal of 9005206468768 is 8678646025009.

It is not an unprimeable number, because it can be changed into a prime (9005206468763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4982623 + ... + 6544993.

It is an arithmetic number, because the mean of its divisors is an integer number (382152285270).

Almost surely, 2^{9005206468768} is an apocalyptic number.

It is an amenable number.

9005206468768 is an abundant number, since it is smaller than the sum of its proper divisors (9338103224192).

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

9005206468768 is a wasteful number, since it uses less digits than its factorization.

9005206468768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568621 (or 1568613 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 9005206468768 in words is "nine trillion, five billion, two hundred six million, four hundred sixty-eight thousand, seven hundred sixty-eight".