164026707768 has 384 divisors, whose sum is σ = 580469760000. Its totient is φ = 41450330880.

The previous prime is 164026707749. The next prime is 164026707781. The reversal of 164026707768 is 867707620461.

It is a super-2 number, since 2×164026707768² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10043113 + ... + 10059431.

It is an arithmetic number, because the mean of its divisors is an integer number (1511640000).

Almost surely, 2^164026707768 is an apocalyptic number.

164026707768 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 164026707768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290234880000).

164026707768 is an abundant number, since it is smaller than the sum of its proper divisors (416443052232).

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

164026707768 is a wasteful number, since it uses less digits than its factorization.

164026707768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16400 (or 16379 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 164026707768 in words is "one hundred sixty-four billion, twenty-six million, seven hundred seven thousand, seven hundred sixty-eight".