8006905577064 has 32 divisors (see below), whose sum is σ = 20017893690720. Its totient is φ = 2668884559296.

The previous prime is 8006905577059. The next prime is 8006905577113. The reversal of 8006905577064 is 4607755096008.

It is a super-2 number, since 2×8006905577064² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8006905576995 and 8006905577013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4466767 + ... + 5997150.

It is an arithmetic number, because the mean of its divisors is an integer number (625559177835).

Almost surely, 2^{8006905577064} is an apocalyptic number.

It is an amenable number.

8006905577064 is an abundant number, since it is smaller than the sum of its proper divisors (12010988113656).

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

8006905577064 is a wasteful number, since it uses less digits than its factorization.

8006905577064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10495809 (or 10495805 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 8006905577064 in words is "eight trillion, six billion, nine hundred five million, five hundred seventy-seven thousand, sixty-four".