167438101680 has 120 divisors (see below), whose sum is σ = 562679722800. Its totient is φ = 44621038080.

The previous prime is 167438101643. The next prime is 167438101681. The reversal of 167438101680 is 86101834761.

167438101680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (167438101681) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1040215 + ... + 1190345.

It is an arithmetic number, because the mean of its divisors is an integer number (4688997690).

Almost surely, 2^167438101680 is an apocalyptic number.

167438101680 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 167438101680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281339861400).

167438101680 is an abundant number, since it is smaller than the sum of its proper divisors (395241621120).

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

167438101680 is a wasteful number, since it uses less digits than its factorization.

167438101680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151699 (or 151690 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 167438101680 in words is "one hundred sixty-seven billion, four hundred thirty-eight million, one hundred one thousand, six hundred eighty".