96960006066 has 192 divisors, whose sum is σ = 265071121920. Its totient is φ = 23303427840.

The previous prime is 96960006049. The next prime is 96960006133. The reversal of 96960006066 is 66060006969.

96960006066 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

96960006066 is a nontrivial binomial coefficient, being equal to C(440364, 2).

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 95 ways as a sum of consecutive naturals, for example, 2623830 + ... + 2660526.

It is an arithmetic number, because the mean of its divisors is an integer number (1380578760).

Almost surely, 2^96960006066 is an apocalyptic number.

96960006066 is the 440363-rd triangular number and also the 220182-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96960006066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132535560960).

96960006066 is an abundant number, since it is smaller than the sum of its proper divisors (168111115854).

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

96960006066 is a wasteful number, since it uses less digits than its factorization.

96960006066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36789 (or 36782 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The spelling of 96960006066 in words is "ninety-six billion, nine hundred sixty million, six thousand, sixty-six".