966484721664 has 640 divisors, whose sum is σ = 3600734068800. Its totient is φ = 250981908480.

The previous prime is 966484721663. The next prime is 966484721669. The reversal of 966484721664 is 466127484669.

It is a happy number.

966484721664 is a `hidden beast` number, since 9 + 66 + 48 + 472 + 1 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (966484721663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 204371652 + ... + 204376380.

Almost surely, 2^966484721664 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 966484721664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800367034400).

966484721664 is an abundant number, since it is smaller than the sum of its proper divisors (2634249347136).

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

966484721664 is an equidigital number, since it uses as much as digits as its factorization.

966484721664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789 (or 4752 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 966484721664 in words is "nine hundred sixty-six billion, four hundred eighty-four million, seven hundred twenty-one thousand, six hundred sixty-four".