966994329600 has 1920 divisors, whose sum is σ = 4129805988000. Its totient is φ = 221679452160.

The previous prime is 966994329593. The next prime is 966994329611. The reversal of 966994329600 is 6923499669.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16389734371 + ... + 16389734429.

Almost surely, 2^966994329600 is an apocalyptic number.

966994329600 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 966994329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064902994000).

966994329600 is an abundant number, since it is smaller than the sum of its proper divisors (3162811658400).

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

966994329600 is a wasteful number, since it uses less digits than its factorization.

966994329600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 63.

The spelling of 966994329600 in words is "nine hundred sixty-six billion, nine hundred ninety-four million, three hundred twenty-nine thousand, six hundred".