1640007009 has 9 divisors (see below), whose sum is σ = 2369074513. Its totient is φ = 1093257012.

The previous prime is 1640007001. The next prime is 1640007023. The reversal of 1640007009 is 9007000461.

The square root of 1640007009 is 40497.

It is a perfect power (a square), and thus also a powerful number.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1640007009 - 2³ = 1640007001 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1640007001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 114742 + ... + 128240.

Almost surely, 2^1640007009 is an apocalyptic number.

1640007009 is the 40497-th square number.

1640007009 is the 20249-th centered octagonal number.

It is an amenable number.

1640007009 is a deficient number, since it is larger than the sum of its proper divisors (729067504).

1640007009 is an frugal number, since it uses more digits than its factorization.

1640007009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27004 (or 13502 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The cubic root of 1640007009 is about 1179.2753879773.

The spelling of 1640007009 in words is "one billion, six hundred forty million, seven thousand, nine".