167685728256 has 480 divisors, whose sum is σ = 536668652520. Its totient is φ = 51980009472.

The previous prime is 167685728227. The next prime is 167685728267. The reversal of 167685728256 is 652827586761.

167685728256 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 8 + 572 + 8 + 2 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108741657600 + 58944070656 = 329760^2 + 242784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 167685728193 and 167685728202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 273549006 + ... + 273549618.

Almost surely, 2^167685728256 is an apocalyptic number.

167685728256 is a gapful number since it is divisible by the number (16) 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 167685728256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268334326260).

167685728256 is an abundant number, since it is smaller than the sum of its proper divisors (368982924264).

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

167685728256 is an equidigital number, since it uses as much as digits as its factorization.

167685728256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 732 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 63.

The spelling of 167685728256 in words is "one hundred sixty-seven billion, six hundred eighty-five million, seven hundred twenty-eight thousand, two hundred fifty-six".