166584422736 has 240 divisors, whose sum is σ = 493086916608. Its totient is φ = 52428902400.

The previous prime is 166584422723. The next prime is 166584422777. The reversal of 166584422736 is 637224485661.

166584422736 is a `hidden beast` number, since 1 + 6 + 6 + 584 + 4 + 2 + 27 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34580200 + ... + 34585016.

Almost surely, 2^166584422736 is an apocalyptic number.

166584422736 is a gapful number since it is divisible by the number (16) 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 166584422736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246543458304).

166584422736 is an abundant number, since it is smaller than the sum of its proper divisors (326502493872).

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

166584422736 is a wasteful number, since it uses less digits than its factorization.

166584422736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5041 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 166584422736 in words is "one hundred sixty-six billion, five hundred eighty-four million, four hundred twenty-two thousand, seven hundred thirty-six".