164750729220 has 864 divisors, whose sum is σ = 664855551360. Its totient is φ = 33861058560.

The previous prime is 164750729203. The next prime is 164750729257. The reversal of 164750729220 is 22927057461.

164750729220 is a `hidden beast` number, since 1 + 6 + 475 + 0 + 72 + 92 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 285529572 + ... + 285530148.

It is an arithmetic number, because the mean of its divisors is an integer number (769508740).

Almost surely, 2^164750729220 is an apocalyptic number.

164750729220 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 164750729220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332427775680).

164750729220 is an abundant number, since it is smaller than the sum of its proper divisors (500104822140).

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

164750729220 is a wasteful number, since it uses less digits than its factorization.

164750729220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 164750729220 in words is "one hundred sixty-four billion, seven hundred fifty million, seven hundred twenty-nine thousand, two hundred twenty".