9714417664 has 120 divisors (see below), whose sum is σ = 22535307648. Its totient is φ = 4101242880.

The previous prime is 9714417617. The next prime is 9714417719. The reversal of 9714417664 is 4667144179.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8142252 + ... + 8143444.

Almost surely, 2^9714417664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9714417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11267653824).

9714417664 is an abundant number, since it is smaller than the sum of its proper divisors (12820889984).

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

9714417664 is an equidigital number, since it uses as much as digits as its factorization.

9714417664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1273 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 49.

The square root of 9714417664 is about 98561.7454390901. The cubic root of 9714417664 is about 2133.7273494449.

The spelling of 9714417664 in words is "nine billion, seven hundred fourteen million, four hundred seventeen thousand, six hundred sixty-four".