9876541320 has 192 divisors, whose sum is σ = 33569078400. Its totient is φ = 2513617920.

The previous prime is 9876541303. The next prime is 9876541321. The reversal of 9876541320 is 231456789.

9876541320 is a `hidden beast` number, since 9 + 8 + 76 + 541 + 32 + 0 = 666.

9876541320 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

9876541320 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (9876541321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4726836 + ... + 4728924.

It is an arithmetic number, because the mean of its divisors is an integer number (174838950).

It is a 2-persistent number, because it is pandigital, and so is 2⋅9876541320 = 19753082640, but 3⋅9876541320 = 29629623960 is not.

Almost surely, 2^9876541320 is an apocalyptic number.

9876541320 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 9876541320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16784539200).

9876541320 is an abundant number, since it is smaller than the sum of its proper divisors (23692537080).

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

9876541320 is a wasteful number, since it uses less digits than its factorization.

9876541320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9876541320 is about 99380.7894917323. The cubic root of 9876541320 is about 2145.5318289411.

The spelling of 9876541320 in words is "nine billion, eight hundred seventy-six million, five hundred forty-one thousand, three hundred twenty".