166942724796960 has 384 divisors, whose sum is σ = 638537472276480. Its totient is φ = 35812151599104.

The previous prime is 166942724796929. The next prime is 166942724797001. The reversal of 166942724796960 is 69697427249661.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5388829 + ... + 19050588.

It is an arithmetic number, because the mean of its divisors is an integer number (1662858000720).

Almost surely, 2^{166942724796960} is an apocalyptic number.

166942724796960 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 166942724796960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319268736138240).

166942724796960 is an abundant number, since it is smaller than the sum of its proper divisors (471594747479520).

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

166942724796960 is a wasteful number, since it uses less digits than its factorization.

166942724796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24439568 (or 24439560 counting only the distinct ones).

The product of its (nonzero) digits is 2962842624, while the sum is 78.

The spelling of 166942724796960 in words is "one hundred sixty-six trillion, nine hundred forty-two billion, seven hundred twenty-four million, seven hundred ninety-six thousand, nine hundred sixty".