9970200576 has 468 divisors, whose sum is σ = 34822496592. Its totient is φ = 2794881024.

The previous prime is 9970200503. The next prime is 9970200577. The reversal of 9970200576 is 6750020799.

9970200576 is a `hidden beast` number, since 9 + 9 + 70 + 2 + 0 + 0 + 576 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9970200577) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188116966 + ... + 188117018.

It is an arithmetic number, because the mean of its divisors is an integer number (74407044).

Almost surely, 2^9970200576 is an apocalyptic number.

9970200576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9970200576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17411248296).

9970200576 is an abundant number, since it is smaller than the sum of its proper divisors (24852296016).

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

9970200576 is an frugal number, since it uses more digits than its factorization.

9970200576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 9970200576 is about 99850.8917135946. The cubic root of 9970200576 is about 2152.2925303563.

The spelling of 9970200576 in words is "nine billion, nine hundred seventy million, two hundred thousand, five hundred seventy-six".