84173907168 has 576 divisors, whose sum is σ = 289616850432. Its totient is φ = 22932357120.

The previous prime is 84173907161. The next prime is 84173907241. The reversal of 84173907168 is 86170937148.

84173907168 is a `hidden beast` number, since 84 + 17 + 390 + 7 + 168 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84173907161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73003680 + ... + 73004832.

It is an arithmetic number, because the mean of its divisors is an integer number (502807032).

Almost surely, 2^84173907168 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 84173907168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144808425216).

84173907168 is an abundant number, since it is smaller than the sum of its proper divisors (205442943264).

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

84173907168 is a wasteful number, since it uses less digits than its factorization.

84173907168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 84173907168 in words is "eighty-four billion, one hundred seventy-three million, nine hundred seven thousand, one hundred sixty-eight".