966742585164 has 336 divisors, whose sum is σ = 2725725673440. Its totient is φ = 298809907200.

The previous prime is 966742585121. The next prime is 966742585169. The reversal of 966742585164 is 461585247669.

966742585164 is a `hidden beast` number, since 9 + 6 + 6 + 7 + 42 + 585 + 1 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (966742585169) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 1466983867 + ... + 1466984525.

It is an arithmetic number, because the mean of its divisors is an integer number (8112278790).

Almost surely, 2^966742585164 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 966742585164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362862836720).

966742585164 is an abundant number, since it is smaller than the sum of its proper divisors (1758983088276).

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

966742585164 is a wasteful number, since it uses less digits than its factorization.

966742585164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1075 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 966742585164 in words is "nine hundred sixty-six billion, seven hundred forty-two million, five hundred eighty-five thousand, one hundred sixty-four".