9894246768 has 320 divisors, whose sum is σ = 33247872000. Its totient is φ = 2759049216.

The previous prime is 9894246757. The next prime is 9894246793. The reversal of 9894246768 is 8676424989.

9894246768 is a `hidden beast` number, since 98 + 9 + 424 + 67 + 68 = 666.

It is a super-2 number, since 2×9894246768² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

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, 26106003 + ... + 26106381.

It is an arithmetic number, because the mean of its divisors is an integer number (103899600).

Almost surely, 2^9894246768 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 9894246768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623936000).

9894246768 is an abundant number, since it is smaller than the sum of its proper divisors (23353625232).

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

9894246768 is a wasteful number, since it uses less digits than its factorization.

9894246768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 577 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The square root of 9894246768 is about 99469.8284305347. The cubic root of 9894246768 is about 2146.8131454043.

The spelling of 9894246768 in words is "nine billion, eight hundred ninety-four million, two hundred forty-six thousand, seven hundred sixty-eight".