473255826280704 has 1080 divisors, whose sum is σ = 1517582441772936. Its totient is φ = 146644992000000.

The previous prime is 473255826280637. The next prime is 473255826280739. The reversal of 473255826280704 is 407082628552374.

It is a happy number.

473255826280704 is a `hidden beast` number, since 4 + 7 + 3 + 2 + 558 + 2 + 6 + 2 + 8 + 0 + 70 + 4 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 47154991104 + 473208671289600 = 217152^2 + 21753360^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 363763124854 + ... + 363763126154.

Almost surely, 2^{473255826280704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473255826280704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758791220886468).

473255826280704 is an abundant number, since it is smaller than the sum of its proper divisors (1044326615492232).

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

473255826280704 is a wasteful number, since it uses less digits than its factorization.

473255826280704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2065 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 473255826280704 in words is "four hundred seventy-three trillion, two hundred fifty-five billion, eight hundred twenty-six million, two hundred eighty thousand, seven hundred four".