9966617841 has 8 divisors (see below), whose sum is σ = 13291197984. Its totient is φ = 6643224800.

The previous prime is 9966617821. The next prime is 9966617861. The reversal of 9966617841 is 1487166699.

It is an interprime number because it is at equal distance from previous prime (9966617821) and next prime (9966617861).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9966617841 - 2¹⁰ = 9966616817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9966617821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276996 + ... + 310901.

It is an arithmetic number, because the mean of its divisors is an integer number (1661399748).

Almost surely, 2^9966617841 is an apocalyptic number.

It is an amenable number.

9966617841 is a deficient number, since it is larger than the sum of its proper divisors (3324580143).

9966617841 is a wasteful number, since it uses less digits than its factorization.

9966617841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593551.

The product of its digits is 3919104, while the sum is 57.

The square root of 9966617841 is about 99832.9496759462. The cubic root of 9966617841 is about 2152.0346947674.

The spelling of 9966617841 in words is "nine billion, nine hundred sixty-six million, six hundred seventeen thousand, eight hundred forty-one".