965668476000 has 768 divisors, whose sum is σ = 3551983239168. Its totient is φ = 228151296000.

The previous prime is 965668475987. The next prime is 965668476011. The reversal of 965668476000 is 674866569.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 233985937 + ... + 233990063.

It is an arithmetic number, because the mean of its divisors is an integer number (4624978176).

Almost surely, 2^965668476000 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 965668476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775991619584).

965668476000 is an abundant number, since it is smaller than the sum of its proper divisors (2586314763168).

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

965668476000 is a wasteful number, since it uses less digits than its factorization.

965668476000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 965668476000 in words is "nine hundred sixty-five billion, six hundred sixty-eight million, four hundred seventy-six thousand".