9975327538176 has 3168 divisors, whose sum is σ = 42269385338880. Its totient is φ = 2299207680000.

The previous prime is 9975327538171. The next prime is 9975327538247. The reversal of 9975327538176 is 6718357235799.

9975327538176 is a `hidden beast` number, since 9 + 9 + 7 + 53 + 27 + 538 + 17 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9975327538171) 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 287 ways as a sum of consecutive naturals, for example, 66061771701 + ... + 66061771851.

Almost surely, 2^{9975327538176} is an apocalyptic number.

9975327538176 is a gapful number since it is divisible by the number (96) 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 9975327538176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21134692669440).

9975327538176 is an abundant number, since it is smaller than the sum of its proper divisors (32294057800704).

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

9975327538176 is a wasteful number, since it uses less digits than its factorization.

9975327538176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 218 counting only the distinct ones).

The product of its digits is 600112800, while the sum is 72.

The spelling of 9975327538176 in words is "nine trillion, nine hundred seventy-five billion, three hundred twenty-seven million, five hundred thirty-eight thousand, one hundred seventy-six".