7671964209 has 64 divisors (see below), whose sum is σ = 12854231040. Its totient is φ = 3962649600.

The previous prime is 7671964199. The next prime is 7671964217. The reversal of 7671964209 is 9024691767.

It is not a de Polignac number, because 7671964209 - 2⁸ = 7671963953 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (7671964409) 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, 2737609 + ... + 2740409.

It is an arithmetic number, because the mean of its divisors is an integer number (200847360).

Almost surely, 2^7671964209 is an apocalyptic number.

7671964209 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

It is an amenable number.

7671964209 is a deficient number, since it is larger than the sum of its proper divisors (5182266831).

7671964209 is a wasteful number, since it uses less digits than its factorization.

7671964209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030.

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 7671964209 is about 87589.7494516339. The cubic root of 7671964209 is about 1972.2812955465.

The spelling of 7671964209 in words is "seven billion, six hundred seventy-one million, nine hundred sixty-four thousand, two hundred nine".