164580417240 has 64 divisors (see below), whose sum is σ = 493773408000. Its totient is φ = 43885252992.

The previous prime is 164580417203. The next prime is 164580417241. The reversal of 164580417240 is 42714085461.

164580417240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 164580417192 and 164580417201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164580417241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2329069 + ... + 2398691.

It is an arithmetic number, because the mean of its divisors is an integer number (7715209500).

Almost surely, 2^164580417240 is an apocalyptic number.

164580417240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164580417240 is an abundant number, since it is smaller than the sum of its proper divisors (329192990760).

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

164580417240 is a wasteful number, since it uses less digits than its factorization.

164580417240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89336 (or 89332 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 164580417240 in words is "one hundred sixty-four billion, five hundred eighty million, four hundred seventeen thousand, two hundred forty".