966633285083200 has 336 divisors, whose sum is σ = 2742119808599808. Its totient is φ = 328526115840000.

The previous prime is 966633285083197. The next prime is 966633285083227. The reversal of 966633285083200 is 2380582336669.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629692590 + ... + 631225810.

It is an arithmetic number, because the mean of its divisors is an integer number (8161070858928).

Almost surely, 2^{966633285083200} 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 966633285083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371059904299904).

966633285083200 is an abundant number, since it is smaller than the sum of its proper divisors (1775486523516608).

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

966633285083200 is a wasteful number, since it uses less digits than its factorization.

966633285083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533742 (or 1533727 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 61.

The spelling of 966633285083200 in words is "nine hundred sixty-six trillion, six hundred thirty-three billion, two hundred eighty-five million, eighty-three thousand, two hundred".