164279743320 has 512 divisors, whose sum is σ = 651176755200. Its totient is φ = 32120064000.

The previous prime is 164279743279. The next prime is 164279743333. The reversal of 164279743320 is 23347972461.

It is a self number, because there is not a number n which added to its sum of digits gives 164279743320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26506462 + ... + 26512658.

It is an arithmetic number, because the mean of its divisors is an integer number (1271829600).

Almost surely, 2^164279743320 is an apocalyptic number.

164279743320 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 164279743320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325588377600).

164279743320 is an abundant number, since it is smaller than the sum of its proper divisors (486897011880).

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

164279743320 is a wasteful number, since it uses less digits than its factorization.

164279743320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6399 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 164279743320 in words is "one hundred sixty-four billion, two hundred seventy-nine million, seven hundred forty-three thousand, three hundred twenty".