164305620700 has 144 divisors (see below), whose sum is σ = 387582693120. Its totient is φ = 60097812480.

The previous prime is 164305620679. The next prime is 164305620733. The reversal of 164305620700 is 7026503461.

It is a happy number.

It is a super-2 number, since 2×164305620700² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 153699766 + ... + 153700834.

It is an arithmetic number, because the mean of its divisors is an integer number (2691546480).

Almost surely, 2^164305620700 is an apocalyptic number.

164305620700 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 164305620700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193791346560).

164305620700 is an abundant number, since it is smaller than the sum of its proper divisors (223277072420).

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

164305620700 is a wasteful number, since it uses less digits than its factorization.

164305620700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 164305620700 in words is "one hundred sixty-four billion, three hundred five million, six hundred twenty thousand, seven hundred".