9970799328 has 576 divisors, whose sum is σ = 36632494080. Its totient is φ = 2603404800.

The previous prime is 9970799327. The next prime is 9970799339. The reversal of 9970799328 is 8239970799.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9970799323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32060293 + ... + 32060603.

It is an arithmetic number, because the mean of its divisors is an integer number (63598080).

Almost surely, 2^9970799328 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 9970799328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18316247040).

9970799328 is an abundant number, since it is smaller than the sum of its proper divisors (26661694752).

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

9970799328 is a wasteful number, since it uses less digits than its factorization.

9970799328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The square root of 9970799328 is about 99853.8898991922. The cubic root of 9970799328 is about 2152.3356141990.

The spelling of 9970799328 in words is "nine billion, nine hundred seventy million, seven hundred ninety-nine thousand, three hundred twenty-eight".