164477743200 has 216 divisors, whose sum is σ = 583346600928. Its totient is φ = 43606871040.

The previous prime is 164477743159. The next prime is 164477743211. The reversal of 164477743200 is 2347774461.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1179577 + ... + 1311623.

It is an arithmetic number, because the mean of its divisors is an integer number (2700678708).

Almost surely, 2^164477743200 is an apocalyptic number.

164477743200 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 164477743200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291673300464).

164477743200 is an abundant number, since it is smaller than the sum of its proper divisors (418868857728).

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

164477743200 is a wasteful number, since it uses less digits than its factorization.

164477743200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132246 (or 132230 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 164477743200 in words is "one hundred sixty-four billion, four hundred seventy-seven million, seven hundred forty-three thousand, two hundred".