166003326720 has 1728 divisors, whose sum is σ = 761011614720. Its totient is φ = 33527070720.

The previous prime is 166003326659. The next prime is 166003326739. The reversal of 166003326720 is 27623300661.

166003326720 is a `hidden beast` number, since 1 + 6 + 600 + 3 + 3 + 26 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 1551432907 + ... + 1551433013.

It is an arithmetic number, because the mean of its divisors is an integer number (440400240).

Almost surely, 2^166003326720 is an apocalyptic number.

166003326720 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 166003326720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380505807360).

166003326720 is an abundant number, since it is smaller than the sum of its proper divisors (595008288000).

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

166003326720 is a wasteful number, since it uses less digits than its factorization.

166003326720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 166003326720 in words is "one hundred sixty-six billion, three million, three hundred twenty-six thousand, seven hundred twenty".