4007664961 has 2 divisors, whose sum is σ = 4007664962. Its totient is φ = 4007664960.

The previous prime is 4007664937. The next prime is 4007664967. The reversal of 4007664961 is 1694667004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2419164225 + 1588500736 = 49185^2 + 39856^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4007664961 is a prime.

It is a super-2 number, since 2×4007664961² = 32122756879254263042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4007664967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2003832480 + 2003832481.

It is an arithmetic number, because the mean of its divisors is an integer number (2003832481).

Almost surely, 2^4007664961 is an apocalyptic number.

It is an amenable number.

4007664961 is a deficient number, since it is larger than the sum of its proper divisors (1).

4007664961 is an equidigital number, since it uses as much as digits as its factorization.

4007664961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 4007664961 is about 63306.1210389643. The cubic root of 4007664961 is about 1588.4143522642.

The spelling of 4007664961 in words is "four billion, seven million, six hundred sixty-four thousand, nine hundred sixty-one".