9972664704 has 128 divisors (see below), whose sum is σ = 29479183200. Its totient is φ = 3319031808.

The previous prime is 9972664621. The next prime is 9972664717. The reversal of 9972664704 is 4074662799.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2669622 + ... + 2673354.

Almost surely, 2^9972664704 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 9972664704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14739591600).

9972664704 is an abundant number, since it is smaller than the sum of its proper divisors (19506518496).

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

9972664704 is a wasteful number, since it uses less digits than its factorization.

9972664704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 9972664704 is about 99863.2299898216. The cubic root of 9972664704 is about 2152.4698282748.

The spelling of 9972664704 in words is "nine billion, nine hundred seventy-two million, six hundred sixty-four thousand, seven hundred four".