9930076992 has 504 divisors, whose sum is σ = 34386697800. Its totient is φ = 2734448640.

The previous prime is 9930076957. The next prime is 9930077029. The reversal of 9930076992 is 2996700399.

It can be written as a sum of positive squares in 4 ways, for example, as 1920542976 + 8009534016 = 43824^2 + 89496^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 342416434 + ... + 342416462.

It is an arithmetic number, because the mean of its divisors is an integer number (68227575).

Almost surely, 2^9930076992 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 9930076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193348900).

9930076992 is an abundant number, since it is smaller than the sum of its proper divisors (24456620808).

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

9930076992 is a wasteful number, since it uses less digits than its factorization.

9930076992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The square root of 9930076992 is about 99649.7716605512. The cubic root of 9930076992 is about 2149.4014553066.

It can be divided in two parts, 993007 and 6992, that added together give a palindrome (999999).

The spelling of 9930076992 in words is "nine billion, nine hundred thirty million, seventy-six thousand, nine hundred ninety-two".