167873270387328 has 1536 divisors, whose sum is σ = 584092643328000. Its totient is φ = 46968980889600.

The previous prime is 167873270387267. The next prime is 167873270387341. The reversal of 167873270387328 is 823783072378761.

167873270387328 is a `hidden beast` number, since 16 + 78 + 73 + 2 + 70 + 387 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 362577257625 + ... + 362577258087.

It is an arithmetic number, because the mean of its divisors is an integer number (380268648000).

Almost surely, 2^{167873270387328} is an apocalyptic number.

167873270387328 is a gapful number since it is divisible by the number (18) 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 167873270387328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292046321664000).

167873270387328 is an abundant number, since it is smaller than the sum of its proper divisors (416219372940672).

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

167873270387328 is a wasteful number, since it uses less digits than its factorization.

167873270387328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 796594176, while the sum is 72.

The spelling of 167873270387328 in words is "one hundred sixty-seven trillion, eight hundred seventy-three billion, two hundred seventy million, three hundred eighty-seven thousand, three hundred twenty-eight".