164032549873920 has 1296 divisors, whose sum is σ = 725337389038080. Its totient is φ = 34608904224768.

The previous prime is 164032549873901. The next prime is 164032549873963. The reversal of 164032549873920 is 29378945230461.

164032549873920 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 3 + 2 + 549 + 87 + 3 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 764117961 + ... + 764332599.

It is a 1-persistent number, because it is pandigital, but 2⋅164032549873920 = 328065099747840 is not.

Almost surely, 2^{164032549873920} is an apocalyptic number.

164032549873920 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 164032549873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362668694519040).

164032549873920 is an abundant number, since it is smaller than the sum of its proper divisors (561304839164160).

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

164032549873920 is an frugal number, since it uses more digits than its factorization.

164032549873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214704 (or 214669 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 164032549873920 in words is "one hundred sixty-four trillion, thirty-two billion, five hundred forty-nine million, eight hundred seventy-three thousand, nine hundred twenty".