966834680004 has 96 divisors (see below), whose sum is σ = 2588138542080. Its totient is φ = 311801184000.

The previous prime is 966834679981. The next prime is 966834680027. The reversal of 966834680004 is 400086438669.

It is an interprime number because it is at equal distance from previous prime (966834679981) and next prime (966834680027).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13600954 + ... + 13671854.

It is an arithmetic number, because the mean of its divisors is an integer number (26959776480).

Almost surely, 2^966834680004 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 966834680004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294069271040).

966834680004 is an abundant number, since it is smaller than the sum of its proper divisors (1621303862076).

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

966834680004 is a wasteful number, since it uses less digits than its factorization.

966834680004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75018 (or 75010 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 966834680004 in words is "nine hundred sixty-six billion, eight hundred thirty-four million, six hundred eighty thousand, four".