7963944417 has 192 divisors, whose sum is σ = 14739379200. Its totient is φ = 4075868160.

The previous prime is 7963944403. The next prime is 7963944421. The reversal of 7963944417 is 7144493697.

It is not a de Polignac number, because 7963944417 - 2²⁰ = 7962895841 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7963944497) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100809384 + ... + 100809462.

It is an arithmetic number, because the mean of its divisors is an integer number (76767600).

Almost surely, 2^7963944417 is an apocalyptic number.

It is an amenable number.

7963944417 is a deficient number, since it is larger than the sum of its proper divisors (6775434783).

7963944417 is a wasteful number, since it uses less digits than its factorization.

7963944417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 245 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 7963944417 is about 89240.9346488482. The cubic root of 7963944417 is about 1996.9908428406.

The spelling of 7963944417 in words is "seven billion, nine hundred sixty-three million, nine hundred forty-four thousand, four hundred seventeen".