164420612240 has 80 divisors (see below), whose sum is σ = 405420837120. Its totient is φ = 61799208960.

The previous prime is 164420612219. The next prime is 164420612243. The reversal of 164420612240 is 42216024461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×164420612240³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164420612197 and 164420612206.

It is not an unprimeable number, because it can be changed into a prime (164420612243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744185 + ... + 939495.

It is an arithmetic number, because the mean of its divisors is an integer number (5067760464).

Almost surely, 2^164420612240 is an apocalyptic number.

164420612240 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 164420612240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202710418560).

164420612240 is an abundant number, since it is smaller than the sum of its proper divisors (241000224880).

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

164420612240 is a wasteful number, since it uses less digits than its factorization.

164420612240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195960 (or 195954 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 164420612240 in words is "one hundred sixty-four billion, four hundred twenty million, six hundred twelve thousand, two hundred forty".