8975616000 has 768 divisors, whose sum is σ = 34342963200. Its totient is φ = 2064384000.

The previous prime is 8975615993. The next prime is 8975616037. The reversal of 8975616000 is 6165798.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289535985 + ... + 289536015.

It is an arithmetic number, because the mean of its divisors is an integer number (44717400).

Almost surely, 2^8975616000 is an apocalyptic number.

8975616000 is a gapful number since it is divisible by the number (80) 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 8975616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17171481600).

8975616000 is an abundant number, since it is smaller than the sum of its proper divisors (25367347200).

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

8975616000 is a wasteful number, since it uses less digits than its factorization.

8975616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 8975616000 is about 94739.7276753528. The cubic root of 8975616000 is about 2078.2035771445.

The spelling of 8975616000 in words is "eight billion, nine hundred seventy-five million, six hundred sixteen thousand".