164045280430080 has 8064 divisors, whose sum is σ = 804113763747840. Its totient is φ = 31784246968320.

The previous prime is 164045280430069. The next prime is 164045280430159. The reversal of 164045280430080 is 80034082540461.

164045280430080 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 4 + 528 + 0 + 43 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (8064).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 4433656227822 + ... + 4433656227858.

It is an arithmetic number, because the mean of its divisors is an integer number (99716488560).

Almost surely, 2^{164045280430080} is an apocalyptic number.

164045280430080 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 164045280430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402056881873920).

164045280430080 is an abundant number, since it is smaller than the sum of its proper divisors (640068483317760).

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

164045280430080 is a wasteful number, since it uses less digits than its factorization.

164045280430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 164045280430080 in words is "one hundred sixty-four trillion, forty-five billion, two hundred eighty million, four hundred thirty thousand, eighty".