9765375001600 has 99 divisors (see below), whose sum is σ = 24207544187301. Its totient is φ = 3905950003200.

The previous prime is 9765375001537. The next prime is 9765375001661. The reversal of 9765375001600 is 61005735679.

The square root of 9765375001600 is 3124960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3515535000576 + 6249840001024 = 1874976^2 + 2499968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 499983835 + ... + 500003365.

Almost surely, 2^{9765375001600} is an apocalyptic number.

9765375001600 is the 3124960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9765375001600

9765375001600 is an abundant number, since it is smaller than the sum of its proper divisors (14442169185701).

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

9765375001600 is an frugal number, since it uses more digits than its factorization.

9765375001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39092 (or 19538 counting only the distinct ones).

The product of its (nonzero) digits is 1190700, while the sum is 49.

Multiplying 9765375001600 by its sum of digits (49), we get a square (478503375078400 = 21874720²).

The spelling of 9765375001600 in words is "nine trillion, seven hundred sixty-five billion, three hundred seventy-five million, one thousand, six hundred".