966491918080 has 288 divisors, whose sum is σ = 2583434165760. Its totient is φ = 343974543360.

The previous prime is 966491918047. The next prime is 966491918081. The reversal of 966491918080 is 80819194669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966491918081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373017585 + ... + 373020175.

It is an arithmetic number, because the mean of its divisors is an integer number (8970257520).

Almost surely, 2^966491918080 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 966491918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291717082880).

966491918080 is an abundant number, since it is smaller than the sum of its proper divisors (1616942247680).

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

966491918080 is a wasteful number, since it uses less digits than its factorization.

966491918080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 61.

The spelling of 966491918080 in words is "nine hundred sixty-six billion, four hundred ninety-one million, nine hundred eighteen thousand, eighty".