475793656632 has 192 divisors, whose sum is σ = 1520757288960. Its totient is φ = 131507712000.

The previous prime is 475793656631. The next prime is 475793656643. The reversal of 475793656632 is 236656397574.

475793656632 is a `hidden beast` number, since 4 + 7 + 5 + 7 + 9 + 36 + 566 + 32 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 475793656632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475793656631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75007653 + ... + 75013995.

It is an arithmetic number, because the mean of its divisors is an integer number (7920610880).

Almost surely, 2^475793656632 is an apocalyptic number.

475793656632 is a gapful number since it is divisible by the number (42) 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 475793656632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760378644480).

475793656632 is an abundant number, since it is smaller than the sum of its proper divisors (1044963632328).

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

475793656632 is a wasteful number, since it uses less digits than its factorization.

475793656632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11194 (or 11187 counting only the distinct ones).

The product of its digits is 171460800, while the sum is 63.

The spelling of 475793656632 in words is "four hundred seventy-five billion, seven hundred ninety-three million, six hundred fifty-six thousand, six hundred thirty-two".