9660134400 has 792 divisors, whose sum is σ = 39584984256. Its totient is φ = 2064384000.

The previous prime is 9660134359. The next prime is 9660134423. The reversal of 9660134400 is 44310669.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63974325 + ... + 63974475.

Almost surely, 2^9660134400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9660134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19792492128).

9660134400 is an abundant number, since it is smaller than the sum of its proper divisors (29924849856).

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

9660134400 is a wasteful number, since it uses less digits than its factorization.

9660134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 9660134400 is about 98285.9827238859. The cubic root of 9660134400 is about 2129.7455668226.

The spelling of 9660134400 in words is "nine billion, six hundred sixty million, one hundred thirty-four thousand, four hundred".