9873895680 has 576 divisors, whose sum is σ = 40265164800. Its totient is φ = 2266030080.

The previous prime is 9873895673. The next prime is 9873895687. The reversal of 9873895680 is 865983789.

It is an interprime number because it is at equal distance from previous prime (9873895673) and next prime (9873895687).

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (9873895687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7222357 + ... + 7223723.

It is an arithmetic number, because the mean of its divisors is an integer number (69904800).

Almost surely, 2^9873895680 is an apocalyptic number.

9873895680 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 9873895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132582400).

9873895680 is an abundant number, since it is smaller than the sum of its proper divisors (30391269120).

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

9873895680 is a wasteful number, since it uses less digits than its factorization.

9873895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The square root of 9873895680 is about 99367.4779794677. The cubic root of 9873895680 is about 2145.3402365081.

The spelling of 9873895680 in words is "nine billion, eight hundred seventy-three million, eight hundred ninety-five thousand, six hundred eighty".