164768487475200 has 1152 divisors, whose sum is σ = 647305529794560. Its totient is φ = 36179450265600.

The previous prime is 164768487475139. The next prime is 164768487475217. The reversal of 164768487475200 is 2574784867461.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4566356359 + ... + 4566392441.

It is an arithmetic number, because the mean of its divisors is an integer number (561897161280).

Almost surely, 2^{164768487475200} is an apocalyptic number.

164768487475200 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 164768487475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323652764897280).

164768487475200 is an abundant number, since it is smaller than the sum of its proper divisors (482537042319360).

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

164768487475200 is a wasteful number, since it uses less digits than its factorization.

164768487475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36293 (or 36268 counting only the distinct ones).

The product of its (nonzero) digits is 505774080, while the sum is 69.

The spelling of 164768487475200 in words is "one hundred sixty-four trillion, seven hundred sixty-eight billion, four hundred eighty-seven million, four hundred seventy-five thousand, two hundred".