164540024320 has 960 divisors, whose sum is σ = 532020234240. Its totient is φ = 48306585600.

The previous prime is 164540024239. The next prime is 164540024321. The reversal of 164540024320 is 23420045461.

164540024320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164540024321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1256030655 + ... + 1256030785.

It is an arithmetic number, because the mean of its divisors is an integer number (554187744).

Almost surely, 2^164540024320 is an apocalyptic number.

164540024320 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 164540024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266010117120).

164540024320 is an abundant number, since it is smaller than the sum of its proper divisors (367480209920).

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

164540024320 is a wasteful number, since it uses less digits than its factorization.

164540024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 164540024320 its reverse (23420045461), we get a palindrome (187960069781).

The spelling of 164540024320 in words is "one hundred sixty-four billion, five hundred forty million, twenty-four thousand, three hundred twenty".