166792342080 has 1792 divisors, whose sum is σ = 760968069120. Its totient is φ = 29896998912.

The previous prime is 166792342049. The next prime is 166792342109. The reversal of 166792342080 is 80243297661.

166792342080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 648997312 + ... + 648997568.

It is an arithmetic number, because the mean of its divisors is an integer number (424647360).

Almost surely, 2^166792342080 is an apocalyptic number.

166792342080 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 166792342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380484034560).

166792342080 is an abundant number, since it is smaller than the sum of its proper divisors (594175727040).

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

166792342080 is a wasteful number, since it uses less digits than its factorization.

166792342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 166792342080 in words is "one hundred sixty-six billion, seven hundred ninety-two million, three hundred forty-two thousand, eighty".