9876142080 has 720 divisors, whose sum is σ = 41348066760. Its totient is φ = 2257403904.

The previous prime is 9876142057. The next prime is 9876142091. The reversal of 9876142080 is 802416789.

9876142080 is a `hidden beast` number, since 9 + 8 + 7 + 614 + 20 + 8 + 0 = 666.

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 (45).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 1410877437 + ... + 1410877443.

Almost surely, 2^9876142080 is an apocalyptic number.

9876142080 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 9876142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20674033380).

9876142080 is an abundant number, since it is smaller than the sum of its proper divisors (31471924680).

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

9876142080 is an frugal number, since it uses more digits than its factorization.

9876142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 9876142080 is about 99378.7808337373. The cubic root of 9876142080 is about 2145.5029188992.

The spelling of 9876142080 in words is "nine billion, eight hundred seventy-six million, one hundred forty-two thousand, eighty".