167380874938368 has 4608 divisors, whose sum is σ = 693875795558400. Its totient is φ = 39328992460800.

The previous prime is 167380874938363. The next prime is 167380874938441. The reversal of 167380874938368 is 863839478083761.

167380874938368 is a `hidden beast` number, since 1 + 6 + 7 + 380 + 8 + 74 + 93 + 83 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is not an unprimeable number, because it can be changed into a prime (167380874938363) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1317959645121 + ... + 1317959645247.

It is an arithmetic number, because the mean of its divisors is an integer number (150580684800).

Almost surely, 2^{167380874938368} is an apocalyptic number.

167380874938368 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 167380874938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346937897779200).

167380874938368 is an abundant number, since it is smaller than the sum of its proper divisors (526494920620032).

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

167380874938368 is a wasteful number, since it uses less digits than its factorization.

167380874938368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 7023034368, while the sum is 81.

The spelling of 167380874938368 in words is "one hundred sixty-seven trillion, three hundred eighty billion, eight hundred seventy-four million, nine hundred thirty-eight thousand, three hundred sixty-eight".