164068363796480 has 1088 divisors, whose sum is σ = 491294540782080. Its totient is φ = 52139120394240.

The previous prime is 164068363796473. The next prime is 164068363796503. The reversal of 164068363796480 is 84697363860461.

164068363796480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 107727092999 + ... + 107727094521.

Almost surely, 2^{164068363796480} is an apocalyptic number.

164068363796480 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 164068363796480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245647270391040).

164068363796480 is an abundant number, since it is smaller than the sum of its proper divisors (327226176985600).

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

164068363796480 is an equidigital number, since it uses as much as digits as its factorization.

164068363796480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1573 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 71.

The spelling of 164068363796480 in words is "one hundred sixty-four trillion, sixty-eight billion, three hundred sixty-three million, seven hundred ninety-six thousand, four hundred eighty".