475360544300640 has 192 divisors, whose sum is σ = 1509203124112320. Its totient is φ = 125764839383040.

The previous prime is 475360544300591. The next prime is 475360544300647. The reversal of 475360544300640 is 46003445063574.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475360544300647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45041506 + ... + 54584414.

It is an arithmetic number, because the mean of its divisors is an integer number (7860432938085).

Almost surely, 2^{475360544300640} is an apocalyptic number.

475360544300640 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 475360544300640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754601562056160).

475360544300640 is an abundant number, since it is smaller than the sum of its proper divisors (1033842579811680).

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

475360544300640 is a wasteful number, since it uses less digits than its factorization.

475360544300640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9543745 (or 9543737 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 51.

The spelling of 475360544300640 in words is "four hundred seventy-five trillion, three hundred sixty billion, five hundred forty-four million, three hundred thousand, six hundred forty".