9965629584 has 225 divisors, whose sum is σ = 29978130787. Its totient is φ = 3196093248.

The previous prime is 9965629579. The next prime is 9965629601. The reversal of 9965629584 is 4859265699.

The square root of 9965629584 is 99828.

It is a perfect power (a square), and thus also a powerful number.

9965629584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 168908947 + ... + 168909005.

Almost surely, 2^9965629584 is an apocalyptic number.

9965629584 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

9965629584 is the 99828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9965629584

9965629584 is an abundant number, since it is smaller than the sum of its proper divisors (20012501203).

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

9965629584 is an equidigital number, since it uses as much as digits as its factorization.

9965629584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 111 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The cubic root of 9965629584 is about 2151.9635628588.

The spelling of 9965629584 in words is "nine billion, nine hundred sixty-five million, six hundred twenty-nine thousand, five hundred eighty-four".