9867591720 has 320 divisors, whose sum is σ = 38714734080. Its totient is φ = 2207222784.

The previous prime is 9867591667. The next prime is 9867591733. The reversal of 9867591720 is 271957689.

It is a super-2 number, since 2×9867591720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 1061332 + ... + 1070588.

It is an arithmetic number, because the mean of its divisors is an integer number (120983544).

Almost surely, 2^9867591720 is an apocalyptic number.

9867591720 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 9867591720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19357367040).

9867591720 is an abundant number, since it is smaller than the sum of its proper divisors (28847142360).

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

9867591720 is a wasteful number, since it uses less digits than its factorization.

9867591720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9334 (or 9321 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 9867591720 is about 99335.7524761352. The cubic root of 9867591720 is about 2144.8835772304.

The spelling of 9867591720 in words is "nine billion, eight hundred sixty-seven million, five hundred ninety-one thousand, seven hundred twenty".