9876894720 has 528 divisors, whose sum is σ = 40122641088. Its totient is φ = 2050621440.

The previous prime is 9876894667. The next prime is 9876894751. The reversal of 9876894720 is 274986789.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 47 ways as a sum of consecutive naturals, for example, 8278444 + ... + 8279636.

Almost surely, 2^9876894720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9876894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20061320544).

9876894720 is an abundant number, since it is smaller than the sum of its proper divisors (30245746368).

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

9876894720 is a wasteful number, since it uses less digits than its factorization.

9876894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 60.

The square root of 9876894720 is about 99382.5674854499. The cubic root of 9876894720 is about 2145.5574189353.

The spelling of 9876894720 in words is "nine billion, eight hundred seventy-six million, eight hundred ninety-four thousand, seven hundred twenty".