451680166080 has 1792 divisors, whose sum is σ = 2005652275200. Its totient is φ = 94058496000.

The previous prime is 451680166073. The next prime is 451680166123. The reversal of 451680166080 is 80661086154.

451680166080 is a `hidden beast` number, since 451 + 68 + 0 + 1 + 6 + 60 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1666716345 + ... + 1666716615.

It is an arithmetic number, because the mean of its divisors is an integer number (1119225600).

Almost surely, 2^451680166080 is an apocalyptic number.

451680166080 is a gapful number since it is divisible by the number (40) 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 451680166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002826137600).

451680166080 is an abundant number, since it is smaller than the sum of its proper divisors (1553972109120).

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

451680166080 is a wasteful number, since it uses less digits than its factorization.

451680166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 451680166080 in words is "four hundred fifty-one billion, six hundred eighty million, one hundred sixty-six thousand, eighty".