9748771200 has 768 divisors, whose sum is σ = 41485440000. Its totient is φ = 2217093120.

The previous prime is 9748771189. The next prime is 9748771229. The reversal of 9748771200 is 21778479.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48988701 + ... + 48988899.

It is an arithmetic number, because the mean of its divisors is an integer number (54017500).

Almost surely, 2^9748771200 is an apocalyptic number.

9748771200 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 9748771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20742720000).

9748771200 is an abundant number, since it is smaller than the sum of its proper divisors (31736668800).

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

9748771200 is an equidigital number, since it uses as much as digits as its factorization.

9748771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 9748771200 is about 98735.8658239244. The cubic root of 9748771200 is about 2136.2395893350.

The spelling of 9748771200 in words is "nine billion, seven hundred forty-eight million, seven hundred seventy-one thousand, two hundred".