475670745600 has 480 divisors, whose sum is σ = 1707488808960. Its totient is φ = 116287488000.

The previous prime is 475670745577. The next prime is 475670745611. The reversal of 475670745600 is 6547076574.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22607085 + ... + 22628115.

It is an arithmetic number, because the mean of its divisors is an integer number (3557268352).

Almost surely, 2^475670745600 is an apocalyptic number.

475670745600 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 475670745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853744404480).

475670745600 is an abundant number, since it is smaller than the sum of its proper divisors (1231818063360).

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

475670745600 is a wasteful number, since it uses less digits than its factorization.

475670745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21112 (or 21091 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 51.

The spelling of 475670745600 in words is "four hundred seventy-five billion, six hundred seventy million, seven hundred forty-five thousand, six hundred".