9866430720 has 288 divisors, whose sum is σ = 35543034240. Its totient is φ = 2591170560.

The previous prime is 9866430703. The next prime is 9866430793. The reversal of 9866430720 is 270346689.

9866430720 is a `hidden beast` number, since 98 + 66 + 430 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2313390 + ... + 2317650.

Almost surely, 2^9866430720 is an apocalyptic number.

9866430720 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 9866430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17771517120).

9866430720 is an abundant number, since it is smaller than the sum of its proper divisors (25676603520).

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

9866430720 is a wasteful number, since it uses less digits than its factorization.

9866430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 9866430720 is about 99329.9084868198. The cubic root of 9866430720 is about 2144.7994531073.

The spelling of 9866430720 in words is "nine billion, eight hundred sixty-six million, four hundred thirty thousand, seven hundred twenty".