9976705200 has 1440 divisors, whose sum is σ = 47282307072. Its totient is φ = 1959552000.

The previous prime is 9976705199. The next prime is 9976705217. The reversal of 9976705200 is 25076799.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 287 ways as a sum of consecutive naturals, for example, 232016379 + ... + 232016421.

Almost surely, 2^9976705200 is an apocalyptic number.

9976705200 is a gapful number since it is divisible by the number (90) 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 9976705200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23641153536).

9976705200 is an abundant number, since it is smaller than the sum of its proper divisors (37305601872).

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

9976705200 is a wasteful number, since it uses less digits than its factorization.

9976705200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

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

The square root of 9976705200 is about 99883.4580899160. The cubic root of 9976705200 is about 2152.7604851753.

The spelling of 9976705200 in words is "nine billion, nine hundred seventy-six million, seven hundred five thousand, two hundred".