164772234720 has 288 divisors, whose sum is σ = 613803415680. Its totient is φ = 41626483200.

The previous prime is 164772234707. The next prime is 164772234721. The reversal of 164772234720 is 27432277461.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164772234721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 627195 + ... + 850245.

It is an arithmetic number, because the mean of its divisors is an integer number (2131261860).

Almost surely, 2^164772234720 is an apocalyptic number.

164772234720 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 164772234720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306901707840).

164772234720 is an abundant number, since it is smaller than the sum of its proper divisors (449031180960).

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

164772234720 is a wasteful number, since it uses less digits than its factorization.

164772234720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223100 (or 223080 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 164772234720 in words is "one hundred sixty-four billion, seven hundred seventy-two million, two hundred thirty-four thousand, seven hundred twenty".