78174327168 has 288 divisors, whose sum is σ = 275458599000. Its totient is φ = 21159677952.

The previous prime is 78174327157. The next prime is 78174327169. The reversal of 78174327168 is 86172347187.

78174327168 is a `hidden beast` number, since 7 + 81 + 7 + 432 + 71 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×78174327168² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78174327169) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1036068 + ... + 1108956.

Almost surely, 2^78174327168 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 78174327168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137729299500).

78174327168 is an abundant number, since it is smaller than the sum of its proper divisors (197284271832).

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

78174327168 is a wasteful number, since it uses less digits than its factorization.

78174327168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72942 (or 72920 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The spelling of 78174327168 in words is "seventy-eight billion, one hundred seventy-four million, three hundred twenty-seven thousand, one hundred sixty-eight".