166847815680 has 896 divisors, whose sum is σ = 674302261248. Its totient is φ = 34285289472.

The previous prime is 166847815657. The next prime is 166847815747. The reversal of 166847815680 is 86518748661.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 480829267 + ... + 480829613.

It is an arithmetic number, because the mean of its divisors is an integer number (752569488).

Almost surely, 2^166847815680 is an apocalyptic number.

166847815680 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 166847815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337151130624).

166847815680 is an abundant number, since it is smaller than the sum of its proper divisors (507454445568).

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

166847815680 is a wasteful number, since it uses less digits than its factorization.

166847815680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 60.

The spelling of 166847815680 in words is "one hundred sixty-six billion, eight hundred forty-seven million, eight hundred fifteen thousand, six hundred eighty".