9917646464 has 32 divisors (see below), whose sum is σ = 21553979040. Its totient is φ = 4508020480.

The previous prime is 9917646443. The next prime is 9917646481. The reversal of 9917646464 is 4646467199.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×9917646464² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3520484 + ... + 3523299.

It is an arithmetic number, because the mean of its divisors is an integer number (673561845).

Almost surely, 2^9917646464 is an apocalyptic number.

It is an amenable number.

9917646464 is an abundant number, since it is smaller than the sum of its proper divisors (11636332576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9917646464 is a wasteful number, since it uses less digits than its factorization.

9917646464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7043808 (or 7043796 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 56.

The square root of 9917646464 is about 99587.3810480023. The cubic root of 9917646464 is about 2148.5042030692.

The spelling of 9917646464 in words is "nine billion, nine hundred seventeen million, six hundred forty-six thousand, four hundred sixty-four".