166640374863360 has 2560 divisors, whose sum is σ = 649243817164800. Its totient is φ = 40886744481792.

The previous prime is 166640374863359. The next prime is 166640374863419. The reversal of 166640374863360 is 63368473046661.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×166640374863360² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 734098567567 + ... + 734098567793.

It is an arithmetic number, because the mean of its divisors is an integer number (253610866080).

Almost surely, 2^{166640374863360} is an apocalyptic number.

166640374863360 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 166640374863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324621908582400).

166640374863360 is an abundant number, since it is smaller than the sum of its proper divisors (482603442301440).

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

166640374863360 is an equidigital number, since it uses as much as digits as its factorization.

166640374863360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 63.

The spelling of 166640374863360 in words is "one hundred sixty-six trillion, six hundred forty billion, three hundred seventy-four million, eight hundred sixty-three thousand, three hundred sixty".