9764825016384 has 1323 divisors, whose sum is σ = 33157477769367. Its totient is φ = 2851083214848.

The previous prime is 9764825016371. The next prime is 9764825016409. The reversal of 9764825016384 is 4836105284679.

The square root of 9764825016384 is 3124872.

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

9764825016384 is a `hidden beast` number, since 9 + 7 + 6 + 48 + 2 + 501 + 6 + 3 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4542320337984 + 5222504678400 = 2131272^2 + 2285280^2 .

It is a super-3 number, since 3×9764825016384³ (a number of 40 digits) contains 333 as substring.

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 188 ways as a sum of consecutive naturals, for example, 263914189614 + ... + 263914189650.

It is a 1-persistent number, because it is pandigital, but 2⋅9764825016384 = 19529650032768 is not.

Almost surely, 2^{9764825016384} is an apocalyptic number.

9764825016384 is the 3124872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9764825016384

9764825016384 is an abundant number, since it is smaller than the sum of its proper divisors (23392652752983).

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

9764825016384 is an equidigital number, since it uses as much as digits as its factorization.

9764825016384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 9764825016384 in words is "nine trillion, seven hundred sixty-four billion, eight hundred twenty-five million, sixteen thousand, three hundred eighty-four".