9894612672 has 560 divisors, whose sum is σ = 35877642240. Its totient is φ = 2633637888.

The previous prime is 9894612671. The next prime is 9894612701. The reversal of 9894612672 is 2762164989.

9894612672 is a `hidden beast` number, since 98 + 9 + 461 + 26 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9894612671) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 77910273 + ... + 77910399.

Almost surely, 2^9894612672 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 9894612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17938821120).

9894612672 is an abundant number, since it is smaller than the sum of its proper divisors (25983029568).

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

9894612672 is a wasteful number, since it uses less digits than its factorization.

9894612672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 271 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 9894612672 is about 99471.6676848237. The cubic root of 9894612672 is about 2146.8396091952.

The spelling of 9894612672 in words is "nine billion, eight hundred ninety-four million, six hundred twelve thousand, six hundred seventy-two".