7845447168 has 480 divisors, whose sum is σ = 26319252960. Its totient is φ = 2229534720.

The previous prime is 7845447119. The next prime is 7845447173. The reversal of 7845447168 is 8617445487.

7845447168 is a `hidden beast` number, since 7 + 84 + 544 + 7 + 16 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69428680 + ... + 69428792.

It is an arithmetic number, because the mean of its divisors is an integer number (54831777).

Almost surely, 2^7845447168 is an apocalyptic number.

7845447168 is a gapful number since it is divisible by the number (78) 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 7845447168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13159626480).

7845447168 is an abundant number, since it is smaller than the sum of its proper divisors (18473805792).

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

7845447168 is a wasteful number, since it uses less digits than its factorization.

7845447168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The square root of 7845447168 is about 88574.5288895177. The cubic root of 7845447168 is about 1987.0367560209.

The spelling of 7845447168 in words is "seven billion, eight hundred forty-five million, four hundred forty-seven thousand, one hundred sixty-eight".