166364106480 has 960 divisors, whose sum is σ = 692595671040. Its totient is φ = 35229081600.

The previous prime is 166364106473. The next prime is 166364106523. The reversal of 166364106480 is 84601463661.

166364106480 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 64 + 106 + 480 = 666.

166364106480 is digitally balanced in base 2, 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 150012166 + ... + 150013274.

It is an arithmetic number, because the mean of its divisors is an integer number (721453824).

Almost surely, 2^166364106480 is an apocalyptic number.

166364106480 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 166364106480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346297835520).

166364106480 is an abundant number, since it is smaller than the sum of its proper divisors (526231564560).

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

166364106480 is a wasteful number, since it uses less digits than its factorization.

166364106480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 166364106480 in words is "one hundred sixty-six billion, three hundred sixty-four million, one hundred six thousand, four hundred eighty".