9866488320 has 240 divisors, whose sum is σ = 36800035272. Its totient is φ = 2428600320.

The previous prime is 9866488279. The next prime is 9866488343. The reversal of 9866488320 is 238846689.

It can be written as a sum of positive squares in 4 ways, for example, as 8134596864 + 1731891456 = 90192^2 + 41616^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 283050 + ... + 315990.

Almost surely, 2^9866488320 is an apocalyptic number.

9866488320 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 9866488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400017636).

9866488320 is an abundant number, since it is smaller than the sum of its proper divisors (26933546952).

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

9866488320 is a wasteful number, since it uses less digits than its factorization.

9866488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32983 (or 32964 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 9866488320 is about 99330.1984292793. The cubic root of 9866488320 is about 2144.8036268627.

The spelling of 9866488320 in words is "nine billion, eight hundred sixty-six million, four hundred eighty-eight thousand, three hundred twenty".