966361262976 has 256 divisors, whose sum is σ = 3003798816000. Its totient is φ = 305006155776.

The previous prime is 966361262947. The next prime is 966361262983. The reversal of 966361262976 is 679262163669.

It is a happy number.

966361262976 is a `hidden beast` number, since 9 + 6 + 6 + 3 + 612 + 6 + 2 + 9 + 7 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219775210 + ... + 219779606.

It is an arithmetic number, because the mean of its divisors is an integer number (11733589125).

Almost surely, 2^966361262976 is an apocalyptic number.

966361262976 is a gapful number since it is divisible by the number (96) 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 966361262976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501899408000).

966361262976 is an abundant number, since it is smaller than the sum of its proper divisors (2037437553024).

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

966361262976 is a wasteful number, since it uses less digits than its factorization.

966361262976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7786 (or 7768 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The spelling of 966361262976 in words is "nine hundred sixty-six billion, three hundred sixty-one million, two hundred sixty-two thousand, nine hundred seventy-six".