6842432961 has 135 divisors (see below), whose sum is σ = 13003941753. Its totient is φ = 3573460800.

The previous prime is 6842432953. The next prime is 6842432983. The reversal of 6842432961 is 1692342486.

The square root of 6842432961 is 82719.

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

It can be written as a sum of positive squares in 4 ways, for example, as 258084225 + 6584348736 = 16065^2 + 81144^2 .

It is not a de Polignac number, because 6842432961 - 2³ = 6842432953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6842432911) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 67746811 + ... + 67746911.

Almost surely, 2^6842432961 is an apocalyptic number.

6842432961 is the 82719-th square number.

6842432961 is the 41360-th centered octagonal number.

It is an amenable number.

6842432961 is a deficient number, since it is larger than the sum of its proper divisors (6161508792).

6842432961 is a wasteful number, since it uses less digits than its factorization.

6842432961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 124 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The cubic root of 6842432961 is about 1898.4690308910.

The spelling of 6842432961 in words is "six billion, eight hundred forty-two million, four hundred thirty-two thousand, nine hundred sixty-one".