475397740334160 has 800 divisors, whose sum is σ = 1940891930799360. Its totient is φ = 105585301979136.

The previous prime is 475397740334149. The next prime is 475397740334171. The reversal of 475397740334160 is 61433047793574.

It is a happy number.

475397740334160 is a `hidden beast` number, since 4 + 7 + 5 + 39 + 7 + 7 + 403 + 34 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (475397740334149) and next prime (475397740334171).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 375811206 + ... + 377074074.

Almost surely, 2^{475397740334160} is an apocalyptic number.

475397740334160 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 475397740334160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970445965399680).

475397740334160 is an abundant number, since it is smaller than the sum of its proper divisors (1465494190465200).

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

475397740334160 is a wasteful number, since it uses less digits than its factorization.

475397740334160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263137 (or 1263122 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 63.

The spelling of 475397740334160 in words is "four hundred seventy-five trillion, three hundred ninety-seven billion, seven hundred forty million, three hundred thirty-four thousand, one hundred sixty".