9876521340 has 216 divisors, whose sum is σ = 35198235072. Its totient is φ = 2234937600.

The previous prime is 9876521321. The next prime is 9876521341. The reversal of 9876521340 is 431256789.

9876521340 is a `hidden beast` number, since 9 + 87 + 6 + 521 + 3 + 40 = 666.

9876521340 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).

9876521340 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9876521341) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 885277 + ... + 896363.

It is an arithmetic number, because the mean of its divisors is an integer number (162954792).

It is a 2-persistent number, because it is pandigital, and so is 2⋅9876521340 = 19753042680, but 3⋅9876521340 = 29629564020 is not.

Almost surely, 2^9876521340 is an apocalyptic number.

9876521340 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 9876521340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17599117536).

9876521340 is an abundant number, since it is smaller than the sum of its proper divisors (25321713732).

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

9876521340 is a wasteful number, since it uses less digits than its factorization.

9876521340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11217 (or 11205 counting only the distinct ones).

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

The square root of 9876521340 is about 99380.6889692359. The cubic root of 9876521340 is about 2145.5303821541.

The spelling of 9876521340 in words is "nine billion, eight hundred seventy-six million, five hundred twenty-one thousand, three hundred forty".