966686000940 has 768 divisors, whose sum is σ = 3439579852800. Its totient is φ = 223351603200.

The previous prime is 966686000897. The next prime is 966686000947. The reversal of 966686000940 is 49000686669.

It is a happy number.

966686000940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (966686000947) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2232530964 + ... + 2232531396.

It is an arithmetic number, because the mean of its divisors is an integer number (4478619600).

Almost surely, 2^966686000940 is an apocalyptic number.

966686000940 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 966686000940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719789926400).

966686000940 is an abundant number, since it is smaller than the sum of its proper divisors (2472893851860).

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

966686000940 is a wasteful number, since it uses less digits than its factorization.

966686000940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 966686000940 in words is "nine hundred sixty-six billion, six hundred eighty-six million, nine hundred forty", and thus it is an aban number.