9664510464 has 400 divisors, whose sum is σ = 33344169408. Its totient is φ = 2741133312.

The previous prime is 9664510441. The next prime is 9664510469. The reversal of 9664510464 is 4640154669.

It is a happy number.

9664510464 is a `hidden beast` number, since 96 + 6 + 4 + 510 + 46 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (9664510469) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70543804 + ... + 70543940.

Almost surely, 2^9664510464 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 9664510464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16672084704).

9664510464 is an abundant number, since it is smaller than the sum of its proper divisors (23679658944).

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

9664510464 is an frugal number, since it uses more digits than its factorization.

9664510464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 9664510464 is about 98308.2420959708. The cubic root of 9664510464 is about 2130.0671115534.

The spelling of 9664510464 in words is "nine billion, six hundred sixty-four million, five hundred ten thousand, four hundred sixty-four".