966833233920 has 672 divisors, whose sum is σ = 3549422822400. Its totient is φ = 242764480512.

The previous prime is 966833233859. The next prime is 966833233943. The reversal of 966833233920 is 29332338669.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1561927371 + ... + 1561927989.

It is an arithmetic number, because the mean of its divisors is an integer number (5281879200).

Almost surely, 2^966833233920 is an apocalyptic number.

966833233920 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 966833233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774711411200).

966833233920 is an abundant number, since it is smaller than the sum of its proper divisors (2582589588480).

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

966833233920 is a wasteful number, since it uses less digits than its factorization.

966833233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 7558272, while the sum is 54.

The spelling of 966833233920 in words is "nine hundred sixty-six billion, eight hundred thirty-three million, two hundred thirty-three thousand, nine hundred twenty".