966991633920 has 960 divisors, whose sum is σ = 3777907573440. Its totient is φ = 235629969408.

The previous prime is 966991633913. The next prime is 966991633931. The reversal of 966991633920 is 29336199669.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 881486812 + ... + 881487908.

It is an arithmetic number, because the mean of its divisors is an integer number (3935320389).

Almost surely, 2^966991633920 is an apocalyptic number.

966991633920 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 966991633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888953786720).

966991633920 is an abundant number, since it is smaller than the sum of its proper divisors (2810915939520).

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

966991633920 is a wasteful number, since it uses less digits than its factorization.

966991633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 25509168, while the sum is 63.

The spelling of 966991633920 in words is "nine hundred sixty-six billion, nine hundred ninety-one million, six hundred thirty-three thousand, nine hundred twenty".