167360467081920 has 896 divisors, whose sum is σ = 675786837196800. Its totient is φ = 34190390919168.

The previous prime is 167360467081883. The next prime is 167360467081939. The reversal of 167360467081920 is 29180764063761.

167360467081920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 364996161 + ... + 365454399.

It is an arithmetic number, because the mean of its divisors is an integer number (754226380800).

Almost surely, 2^{167360467081920} is an apocalyptic number.

167360467081920 is a gapful number since it is divisible by the number (10) 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 167360467081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337893418598400).

167360467081920 is an abundant number, since it is smaller than the sum of its proper divisors (508426370114880).

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

167360467081920 is a wasteful number, since it uses less digits than its factorization.

167360467081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458445 (or 458435 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 60.

The spelling of 167360467081920 in words is "one hundred sixty-seven trillion, three hundred sixty billion, four hundred sixty-seven million, eighty-one thousand, nine hundred twenty".