1680000009 has 32 divisors (see below), whose sum is σ = 2310389760. Its totient is φ = 1085527872.

The previous prime is 1679999999. The next prime is 1680000013. The reversal of 1680000009 is 9000000861.

It is not a de Polignac number, because 1680000009 - 2²⁷ = 1545782281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1680000029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4386232 + ... + 4386614.

It is an arithmetic number, because the mean of its divisors is an integer number (72199680).

Almost surely, 2^1680000009 is an apocalyptic number.

It is an amenable number.

1680000009 is a deficient number, since it is larger than the sum of its proper divisors (630389751).

1680000009 is a wasteful number, since it uses less digits than its factorization.

1680000009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749.

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1680000009 is about 40987.8031736272. The cubic root of 1680000009 is about 1188.7843926755.

The spelling of 1680000009 in words is "one billion, six hundred eighty million, nine", and thus it is an aban number.