7665680205 has 48 divisors (see below), whose sum is σ = 14117865840. Its totient is φ = 3847759872.

The previous prime is 7665680203. The next prime is 7665680221. The reversal of 7665680205 is 5020865667.

7665680205 is a `hidden beast` number, since 7 + 66 + 568 + 0 + 20 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 584962596 + 7080717609 = 24186^2 + 84147^2 .

It is not a de Polignac number, because 7665680205 - 2¹ = 7665680203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7665680203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203749 + ... + 238421.

It is an arithmetic number, because the mean of its divisors is an integer number (294122205).

Almost surely, 2^7665680205 is an apocalyptic number.

It is an amenable number.

7665680205 is a deficient number, since it is larger than the sum of its proper divisors (6452185635).

7665680205 is a wasteful number, since it uses less digits than its factorization.

7665680205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34735 (or 34698 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 7665680205 is about 87553.8703028027. The cubic root of 7665680205 is about 1971.7426586505.

The spelling of 7665680205 in words is "seven billion, six hundred sixty-five million, six hundred eighty thousand, two hundred five".