9887945760 has 720 divisors, whose sum is σ = 43052143680. Its totient is φ = 2023971840.

The previous prime is 9887945713. The next prime is 9887945777. The reversal of 9887945760 is 675497889.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 147581247 + ... + 147581313.

It is an arithmetic number, because the mean of its divisors is an integer number (59794644).

Almost surely, 2^9887945760 is an apocalyptic number.

9887945760 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 9887945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21526071840).

9887945760 is an abundant number, since it is smaller than the sum of its proper divisors (33164197920).

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

9887945760 is a wasteful number, since it uses less digits than its factorization.

9887945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The square root of 9887945760 is about 99438.1504252769. The cubic root of 9887945760 is about 2146.3573263259.

The spelling of 9887945760 in words is "nine billion, eight hundred eighty-seven million, nine hundred forty-five thousand, seven hundred sixty".