164728300236800 has 312 divisors, whose sum is σ = 410958950292000. Its totient is φ = 65491556106240.

The previous prime is 164728300236641. The next prime is 164728300236817. The reversal of 164728300236800 is 8632003827461.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22354223516 + ... + 22354230884.

Almost surely, 2^{164728300236800} is an apocalyptic number.

164728300236800 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 164728300236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205479475146000).

164728300236800 is an abundant number, since it is smaller than the sum of its proper divisors (246230650055200).

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

164728300236800 is a wasteful number, since it uses less digits than its factorization.

164728300236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8699 (or 8672 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 50.

The spelling of 164728300236800 in words is "one hundred sixty-four trillion, seven hundred twenty-eight billion, three hundred million, two hundred thirty-six thousand, eight hundred".