9894864960 has 896 divisors, whose sum is σ = 40292121600. Its totient is φ = 2270822400.

The previous prime is 9894864913. The next prime is 9894864997. The reversal of 9894864960 is 694684989.

9894864960 is a `hidden beast` number, since 98 + 9 + 486 + 4 + 9 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97968910 + ... + 97969010.

Almost surely, 2^9894864960 is an apocalyptic number.

9894864960 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 9894864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20146060800).

9894864960 is an abundant number, since it is smaller than the sum of its proper divisors (30397256640).

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

9894864960 is a wasteful number, since it uses less digits than its factorization.

9894864960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The square root of 9894864960 is about 99472.9358167336. The cubic root of 9894864960 is about 2146.8578553960.

The spelling of 9894864960 in words is "nine billion, eight hundred ninety-four million, eight hundred sixty-four thousand, nine hundred sixty".