96832272576 has 448 divisors, whose sum is σ = 295768166400. Its totient is φ = 27743109120.

The previous prime is 96832272571. The next prime is 96832272577. The reversal of 96832272576 is 67527223869.

It is not an unprimeable number, because it can be changed into a prime (96832272571) 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 63 ways as a sum of consecutive naturals, for example, 426573775 + ... + 426574001.

It is an arithmetic number, because the mean of its divisors is an integer number (660196800).

Almost surely, 2^96832272576 is an apocalyptic number.

96832272576 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 96832272576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147884083200).

96832272576 is an abundant number, since it is smaller than the sum of its proper divisors (198935893824).

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

96832272576 is a wasteful number, since it uses less digits than its factorization.

96832272576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 57.

The spelling of 96832272576 in words is "ninety-six billion, eight hundred thirty-two million, two hundred seventy-two thousand, five hundred seventy-six".