966007632000 has 512 divisors, whose sum is σ = 3346026278400. Its totient is φ = 246220800000.

The previous prime is 966007631959. The next prime is 966007632013. The reversal of 966007632000 is 236700669.

It is a self number, because there is not a number n which added to its sum of digits gives 966007632000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140588565 + ... + 140595435.

It is an arithmetic number, because the mean of its divisors is an integer number (6535207575).

Almost surely, 2^966007632000 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 966007632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673013139200).

966007632000 is an abundant number, since it is smaller than the sum of its proper divisors (2380018646400).

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

966007632000 is a wasteful number, since it uses less digits than its factorization.

966007632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7033 (or 7011 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The spelling of 966007632000 in words is "nine hundred sixty-six billion, seven million, six hundred thirty-two thousand".