4632416961 has 32 divisors (see below), whose sum is σ = 6794557440. Its totient is φ = 2796825024.

The previous prime is 4632416953. The next prime is 4632417001. The reversal of 4632416961 is 1696142364.

It is a happy number.

It is not a de Polignac number, because 4632416961 - 2³ = 4632416953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4632416951) 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, 95091 + ... + 135303.

It is an arithmetic number, because the mean of its divisors is an integer number (212329920).

Almost surely, 2^4632416961 is an apocalyptic number.

It is an amenable number.

4632416961 is a deficient number, since it is larger than the sum of its proper divisors (2162140479).

4632416961 is a wasteful number, since it uses less digits than its factorization.

4632416961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40325.

The product of its digits is 186624, while the sum is 42.

The square root of 4632416961 is about 68061.8612807496. The cubic root of 4632416961 is about 1667.0010793275.

The spelling of 4632416961 in words is "four billion, six hundred thirty-two million, four hundred sixteen thousand, nine hundred sixty-one".