164306705920 has 720 divisors, whose sum is σ = 500280390720. Its totient is φ = 51516702720.

The previous prime is 164306705917. The next prime is 164306706017. The reversal of 164306705920 is 29507603461.

It is a super-2 number, since 2×164306705920² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3495887337 + ... + 3495887383.

It is an arithmetic number, because the mean of its divisors is an integer number (694833876).

Almost surely, 2^164306705920 is an apocalyptic number.

164306705920 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 164306705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250140195360).

164306705920 is an abundant number, since it is smaller than the sum of its proper divisors (335973684800).

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

164306705920 is an equidigital number, since it uses as much as digits as its factorization.

164306705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 164306705920 in words is "one hundred sixty-four billion, three hundred six million, seven hundred five thousand, nine hundred twenty".