475147330560 has 1408 divisors, whose sum is σ = 2082083942400. Its totient is φ = 100329062400.

The previous prime is 475147330549. The next prime is 475147330627. The reversal of 475147330560 is 65033741574.

475147330560 is a `hidden beast` number, since 4 + 7 + 5 + 14 + 73 + 3 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 790594260 + ... + 790594860.

It is an arithmetic number, because the mean of its divisors is an integer number (1478752800).

Almost surely, 2^475147330560 is an apocalyptic number.

475147330560 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 475147330560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041041971200).

475147330560 is an abundant number, since it is smaller than the sum of its proper divisors (1606936611840).

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

475147330560 is a wasteful number, since it uses less digits than its factorization.

475147330560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 475147330560 in words is "four hundred seventy-five billion, one hundred forty-seven million, three hundred thirty thousand, five hundred sixty".