9972664608 has 24 divisors (see below), whose sum is σ = 26178244848. Its totient is φ = 3324221504.

The previous prime is 9972664607. The next prime is 9972664621. The reversal of 9972664608 is 8064662799.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (9972664607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51940866 + ... + 51941057.

It is an arithmetic number, because the mean of its divisors is an integer number (1090760202).

Almost surely, 2^9972664608 is an apocalyptic number.

It is an amenable number.

9972664608 is an abundant number, since it is smaller than the sum of its proper divisors (16205580240).

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

9972664608 is a wasteful number, since it uses less digits than its factorization.

9972664608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103881936 (or 103881928 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The square root of 9972664608 is about 99863.2295091642. The cubic root of 9972664608 is about 2152.4698213680.

The spelling of 9972664608 in words is "nine billion, nine hundred seventy-two million, six hundred sixty-four thousand, six hundred eight".