164644430080 has 144 divisors (see below), whose sum is σ = 447065478720. Its totient is φ = 57592111104.

The previous prime is 164644430077. The next prime is 164644430081. The reversal of 164644430080 is 80034446461.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (164644430081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 55779 + ... + 576541.

It is an arithmetic number, because the mean of its divisors is an integer number (3104621380).

Almost surely, 2^164644430080 is an apocalyptic number.

164644430080 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 164644430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223532739360).

164644430080 is an abundant number, since it is smaller than the sum of its proper divisors (282421048640).

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

164644430080 is a wasteful number, since it uses less digits than its factorization.

164644430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520816 (or 520802 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 164644430080 in words is "one hundred sixty-four billion, six hundred forty-four million, four hundred thirty thousand, eighty".