9875673600 has 480 divisors, whose sum is σ = 35745878784. Its totient is φ = 2388787200.

The previous prime is 9875673583. The next prime is 9875673617. The reversal of 9875673600 is 63765789.

It is an interprime number because it is at equal distance from previous prime (9875673583) and next prime (9875673617).

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36441465 + ... + 36441735.

Almost surely, 2^9875673600 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 9875673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17872939392).

9875673600 is an abundant number, since it is smaller than the sum of its proper divisors (25870205184).

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

9875673600 is a wasteful number, since it uses less digits than its factorization.

9875673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The square root of 9875673600 is about 99376.4237633856. The cubic root of 9875673600 is about 2145.4689940092.

The spelling of 9875673600 in words is "nine billion, eight hundred seventy-five million, six hundred seventy-three thousand, six hundred".