966638597792 has 192 divisors, whose sum is σ = 2210167814400. Its totient is φ = 407642112000.

The previous prime is 966638597791. The next prime is 966638597879. The reversal of 966638597792 is 297795836669.

It is not an unprimeable number, because it can be changed into a prime (966638597791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2484931934 + ... + 2484932322.

It is an arithmetic number, because the mean of its divisors is an integer number (11511290700).

Almost surely, 2^966638597792 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 966638597792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105083907200).

966638597792 is an abundant number, since it is smaller than the sum of its proper divisors (1243529216608).

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

966638597792 is a wasteful number, since it uses less digits than its factorization.

966638597792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1071 counting only the distinct ones).

The product of its digits is 1851776640, while the sum is 77.

The spelling of 966638597792 in words is "nine hundred sixty-six billion, six hundred thirty-eight million, five hundred ninety-seven thousand, seven hundred ninety-two".