966328320400 has 135 divisors (see below), whose sum is σ = 2428067953731. Its totient is φ = 369552606720.

The previous prime is 966328320389. The next prime is 966328320427. The reversal of 966328320400 is 4023823669.

The square root of 966328320400 is 983020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 413196982416 + 553131337984 = 642804^2 + 743728^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 452188132 + ... + 452190268.

Almost surely, 2^966328320400 is an apocalyptic number.

966328320400 is the 983020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966328320400

966328320400 is an abundant number, since it is smaller than the sum of its proper divisors (1461739633331).

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

966328320400 is an equidigital number, since it uses as much as digits as its factorization.

966328320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 966328320400 in words is "nine hundred sixty-six billion, three hundred twenty-eight million, three hundred twenty thousand, four hundred".