9375966480400 has 135 divisors (see below), whose sum is σ = 24393870029541. Its totient is φ = 3461601361920.

The previous prime is 9375966480389. The next prime is 9375966480403. The reversal of 9375966480400 is 40846695739.

The square root of 9375966480400 is 3062020.

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

It can be written as a sum of positive squares in 13 ways, for example, as 7536188924944 + 1839777555456 = 2745212^2 + 1356384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9375966480403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 796119312 + ... + 796131088.

Almost surely, 2^{9375966480400} is an apocalyptic number.

9375966480400 is the 3062020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9375966480400

9375966480400 is an abundant number, since it is smaller than the sum of its proper divisors (15017903549141).

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

9375966480400 is an equidigital number, since it uses as much as digits as its factorization.

9375966480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23598 (or 11797 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 61.

The spelling of 9375966480400 in words is "nine trillion, three hundred seventy-five billion, nine hundred sixty-six million, four hundred eighty thousand, four hundred".