9603268835328 has 864 divisors, whose sum is σ = 34318279195200. Its totient is φ = 2570603986944.

The previous prime is 9603268835261. The next prime is 9603268835333. The reversal of 9603268835328 is 8235388623069.

9603268835328 is a `hidden beast` number, since 9 + 6 + 0 + 32 + 68 + 8 + 3 + 532 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3669570276 + ... + 3669572892.

It is an arithmetic number, because the mean of its divisors is an integer number (39720230550).

Almost surely, 2^{9603268835328} is an apocalyptic number.

9603268835328 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9603268835328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17159139597600).

9603268835328 is an abundant number, since it is smaller than the sum of its proper divisors (24715010359872).

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

9603268835328 is a wasteful number, since it uses less digits than its factorization.

9603268835328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 9603268835328 in words is "nine trillion, six hundred three billion, two hundred sixty-eight million, eight hundred thirty-five thousand, three hundred twenty-eight".