164880728064 has 600 divisors, whose sum is σ = 559513563840. Its totient is φ = 47966846976.

The previous prime is 164880727937. The next prime is 164880728113. The reversal of 164880728064 is 460827088461.

164880728064 is a `hidden beast` number, since 16 + 488 + 0 + 72 + 80 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 164880728064.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 327794437 + ... + 327794939.

Almost surely, 2^164880728064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164880728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279756781920).

164880728064 is an abundant number, since it is smaller than the sum of its proper divisors (394632835776).

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

164880728064 is an equidigital number, since it uses as much as digits as its factorization.

164880728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 164880728064 in words is "one hundred sixty-four billion, eight hundred eighty million, seven hundred twenty-eight thousand, sixty-four".