966302866620 has 960 divisors, whose sum is σ = 3855515811840. Its totient is φ = 197173481472.

The previous prime is 966302866489. The next prime is 966302866621. The reversal of 966302866620 is 26668203669.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966302866621) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 616657077 + ... + 616658643.

It is an arithmetic number, because the mean of its divisors is an integer number (4016162304).

Almost surely, 2^966302866620 is an apocalyptic number.

966302866620 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966302866620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1927757905920).

966302866620 is an abundant number, since it is smaller than the sum of its proper divisors (2889212945220).

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

966302866620 is a wasteful number, since it uses less digits than its factorization.

966302866620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 966302866620 in words is "nine hundred sixty-six billion, three hundred two million, eight hundred sixty-six thousand, six hundred twenty".