164013767424 has 216 divisors, whose sum is σ = 539227084032. Its totient is φ = 47497052160.

The previous prime is 164013767419. The next prime is 164013767453. The reversal of 164013767424 is 424767310461.

164013767424 is a `hidden beast` number, since 164 + 0 + 1 + 3 + 7 + 67 + 424 = 666.

It is a super-2 number, since 2×164013767424² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164013767424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348129 + ... + 670239.

Almost surely, 2^164013767424 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 164013767424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269613542016).

164013767424 is an abundant number, since it is smaller than the sum of its proper divisors (375213316608).

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

164013767424 is a wasteful number, since it uses less digits than its factorization.

164013767424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322163 (or 322146 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 164013767424 in words is "one hundred sixty-four billion, thirteen million, seven hundred sixty-seven thousand, four hundred twenty-four".