966566329992 has 384 divisors, whose sum is σ = 2907821030400. Its totient is φ = 289171814400.

The previous prime is 966566329979. The next prime is 966566330047. The reversal of 966566329992 is 299923665669.

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

It is a self number, because there is not a number n which added to its sum of digits gives 966566329992.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169778698 + ... + 169784390.

It is an arithmetic number, because the mean of its divisors is an integer number (7572450600).

Almost surely, 2^966566329992 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 966566329992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453910515200).

966566329992 is an abundant number, since it is smaller than the sum of its proper divisors (1941254700408).

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

966566329992 is a wasteful number, since it uses less digits than its factorization.

966566329992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869 (or 5862 counting only the distinct ones).

The product of its digits is 510183360, while the sum is 72.

The spelling of 966566329992 in words is "nine hundred sixty-six billion, five hundred sixty-six million, three hundred twenty-nine thousand, nine hundred ninety-two".