9965647296 has 112 divisors (see below), whose sum is σ = 31960596480. Its totient is φ = 3019887360.

The previous prime is 9965647243. The next prime is 9965647309. The reversal of 9965647296 is 6927465699.

It is a super-2 number, since 2×9965647296² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243136 + ... + 281151.

Almost surely, 2^9965647296 is an apocalyptic number.

9965647296 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9965647296 is an abundant number, since it is smaller than the sum of its proper divisors (21994949184).

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

9965647296 is a wasteful number, since it uses less digits than its factorization.

9965647296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524319 (or 524303 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The square root of 9965647296 is about 99828.0887125462. The cubic root of 9965647296 is about 2151.9648377592.

The spelling of 9965647296 in words is "nine billion, nine hundred sixty-five million, six hundred forty-seven thousand, two hundred ninety-six".