9794270976400 has 135 divisors (see below), whose sum is σ = 23697773444739. Its totient is φ = 3890092976640.

The previous prime is 9794270976389. The next prime is 9794270976403. The reversal of 9794270976400 is 46790724979.

The square root of 9794270976400 is 3129580.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4024052048016 + 5770218928384 = 2006004^2 + 2402128^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9794270976403) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 10452796732 + ... + 10452797668.

Almost surely, 2^{9794270976400} is an apocalyptic number.

9794270976400 is the 3129580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9794270976400

9794270976400 is an abundant number, since it is smaller than the sum of its proper divisors (13903502468339).

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

9794270976400 is an frugal number, since it uses more digits than its factorization.

9794270976400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 64.

Multiplying 9794270976400 by its sum of digits (64), we get a square (626833342489600 = 25036640²).

The spelling of 9794270976400 in words is "nine trillion, seven hundred ninety-four billion, two hundred seventy million, nine hundred seventy-six thousand, four hundred".