166634424000 has 1008 divisors, whose sum is σ = 677425851648. Its totient is φ = 39029760000.

The previous prime is 166634423971. The next prime is 166634424007. The reversal of 166634424000 is 424436661.

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

It is not an unprimeable number, because it can be changed into a prime (166634424007) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 270071692 + ... + 270072308.

It is an arithmetic number, because the mean of its divisors is an integer number (672049456).

Almost surely, 2^166634424000 is an apocalyptic number.

166634424000 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 166634424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338712925824).

166634424000 is an abundant number, since it is smaller than the sum of its proper divisors (510791427648).

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

166634424000 is a wasteful number, since it uses less digits than its factorization.

166634424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 166634424000 in words is "one hundred sixty-six billion, six hundred thirty-four million, four hundred twenty-four thousand".