475982146437120 has 720 divisors, whose sum is σ = 1719529298581248. Its totient is φ = 125957811732480.

The previous prime is 475982146437103. The next prime is 475982146437139. The reversal of 475982146437120 is 21734641289574.

475982146437120 is a `hidden beast` number, since 4 + 7 + 5 + 9 + 82 + 1 + 464 + 3 + 71 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×475982146437120² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6953990737 + ... + 6954059183.

It is a 1-persistent number, because it is pandigital, but 2⋅475982146437120 = 951964292874240 is not.

Almost surely, 2^{475982146437120} is an apocalyptic number.

475982146437120 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 475982146437120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859764649290624).

475982146437120 is an abundant number, since it is smaller than the sum of its proper divisors (1243547152144128).

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

475982146437120 is an frugal number, since it uses more digits than its factorization.

475982146437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68629 (or 68588 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 475982146437120 in words is "four hundred seventy-five trillion, nine hundred eighty-two billion, one hundred forty-six million, four hundred thirty-seven thousand, one hundred twenty".