9972079960032 has 240 divisors, whose sum is σ = 30370183850160. Its totient is φ = 3206096474112.

The previous prime is 9972079959949. The next prime is 9972079960057. The reversal of 9972079960032 is 2300699702799.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73371243 + ... + 73507029.

It is an arithmetic number, because the mean of its divisors is an integer number (126542432709).

Almost surely, 2^{9972079960032} 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 9972079960032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15185091925080).

9972079960032 is an abundant number, since it is smaller than the sum of its proper divisors (20398103890128).

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

9972079960032 is a wasteful number, since it uses less digits than its factorization.

9972079960032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136815 (or 136798 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 63.

The spelling of 9972079960032 in words is "nine trillion, nine hundred seventy-two billion, seventy-nine million, nine hundred sixty thousand, thirty-two".