73494435168 has 432 divisors, whose sum is σ = 270258717456. Its totient is φ = 18727188480.

The previous prime is 73494435167. The next prime is 73494435193. The reversal of 73494435168 is 86153449437.

73494435168 is a `hidden beast` number, since 7 + 3 + 49 + 4 + 435 + 168 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73494435167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8222830 + ... + 8231762.

It is an arithmetic number, because the mean of its divisors is an integer number (625598883).

Almost surely, 2^73494435168 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 73494435168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135129358728).

73494435168 is an abundant number, since it is smaller than the sum of its proper divisors (196764282288).

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

73494435168 is a wasteful number, since it uses less digits than its factorization.

73494435168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9027 (or 9009 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 73494435168 in words is "seventy-three billion, four hundred ninety-four million, four hundred thirty-five thousand, one hundred sixty-eight".