9604544774400 has 729 divisors, whose sum is σ = 35392975089381. Its totient is φ = 2484849623040.

The previous prime is 9604544774371. The next prime is 9604544774401. The reversal of 9604544774400 is 44774454069.

It is a happy number.

The square root of 9604544774400 is 3099120.

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

9604544774400 is a `hidden beast` number, since 96 + 0 + 4 + 5 + 44 + 77 + 440 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 493613035776 + 9110931738624 = 702576^2 + 3018432^2 .

It is not an unprimeable number, because it can be changed into a prime (9604544774401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 27520185426 + ... + 27520185774.

Almost surely, 2^{9604544774400} is an apocalyptic number.

9604544774400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9604544774400 is the 3099120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9604544774400

9604544774400 is an abundant number, since it is smaller than the sum of its proper divisors (25788430314981).

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

9604544774400 is an equidigital number, since it uses as much as digits as its factorization.

9604544774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 9604544774400 in words is "nine trillion, six hundred four billion, five hundred forty-four million, seven hundred seventy-four thousand, four hundred".