167872734552064 has 224 divisors, whose sum is σ = 344365299482400. Its totient is φ = 81799151616000.

The previous prime is 167872734552059. The next prime is 167872734552079. The reversal of 167872734552064 is 460255437278761.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55058291212 + ... + 55058294260.

It is an arithmetic number, because the mean of its divisors is an integer number (1537345086975).

Almost surely, 2^{167872734552064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 167872734552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172182649741200).

167872734552064 is an abundant number, since it is smaller than the sum of its proper divisors (176492564930336).

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

167872734552064 is an equidigital number, since it uses as much as digits as its factorization.

167872734552064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3916 counting only the distinct ones).

The product of its (nonzero) digits is 474163200, while the sum is 67.

The spelling of 167872734552064 in words is "one hundred sixty-seven trillion, eight hundred seventy-two billion, seven hundred thirty-four million, five hundred fifty-two thousand, sixty-four".