966844576800 has 720 divisors, whose sum is σ = 3820307797152. Its totient is φ = 237004185600.

The previous prime is 966844576771. The next prime is 966844576861. The reversal of 966844576800 is 8675448669.

It is a tau number, because it is divible by the number of its divisors (720).

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 119 ways as a sum of consecutive naturals, for example, 47358595 + ... + 47379005.

Almost surely, 2^966844576800 is an apocalyptic number.

966844576800 is a gapful number since it is divisible by the number (90) 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 966844576800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910153898576).

966844576800 is an abundant number, since it is smaller than the sum of its proper divisors (2853463220352).

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

966844576800 is a wasteful number, since it uses less digits than its factorization.

966844576800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20503 (or 20481 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 966844576800 in words is "nine hundred sixty-six billion, eight hundred forty-four million, five hundred seventy-six thousand, eight hundred".