9664405632 has 288 divisors, whose sum is σ = 34057249200. Its totient is φ = 2615639040.

The previous prime is 9664405609. The next prime is 9664405637. The reversal of 9664405632 is 2365044669.

9664405632 is a `hidden beast` number, since 9 + 6 + 6 + 4 + 4 + 0 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (9664405637) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1068007 + ... + 1077017.

Almost surely, 2^9664405632 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 9664405632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17028624600).

9664405632 is an abundant number, since it is smaller than the sum of its proper divisors (24392843568).

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

9664405632 is a wasteful number, since it uses less digits than its factorization.

9664405632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9064 (or 9042 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 9664405632 is about 98307.7089144081. The cubic root of 9664405632 is about 2130.0594098354.

The spelling of 9664405632 in words is "nine billion, six hundred sixty-four million, four hundred five thousand, six hundred thirty-two".