96746179200 has 576 divisors, whose sum is σ = 359886444960. Its totient is φ = 22809600000.

The previous prime is 96746179199. The next prime is 96746179213. The reversal of 96746179200 is 297164769.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42978075 + ... + 42980325.

Almost surely, 2^96746179200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96746179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179943222480).

96746179200 is an abundant number, since it is smaller than the sum of its proper divisors (263140265760).

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

96746179200 is a wasteful number, since it uses less digits than its factorization.

96746179200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2337 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 96746179200 in words is "ninety-six billion, seven hundred forty-six million, one hundred seventy-nine thousand, two hundred".