6445893168 has 200 divisors, whose sum is σ = 21918503376. Its totient is φ = 1802995200.

The previous prime is 6445893163. The next prime is 6445893169. The reversal of 6445893168 is 8613985446.

6445893168 is a `hidden beast` number, since 6 + 44 + 589 + 3 + 16 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6445893163) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167938 + ... + 202718.

Almost surely, 2^6445893168 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 6445893168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10959251688).

6445893168 is an abundant number, since it is smaller than the sum of its proper divisors (15472610208).

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

6445893168 is a wasteful number, since it uses less digits than its factorization.

6445893168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34825 (or 34810 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 6445893168 is about 80286.3199306084. The cubic root of 6445893168 is about 1861.0628264954.

The spelling of 6445893168 in words is "six billion, four hundred forty-five million, eight hundred ninety-three thousand, one hundred sixty-eight".