475757568 has 396 divisors, whose sum is σ = 1703316888. Its totient is φ = 126074880.

The previous prime is 475757543. The next prime is 475757603. The reversal of 475757568 is 865757574.

It is a happy number.

475757568 is a `hidden beast` number, since 4 + 7 + 5 + 7 + 575 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (396).

Its product of digits (8232000) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25039863 + ... + 25039881.

Almost surely, 2^475757568 is an apocalyptic number.

475757568 is a gapful number since it is divisible by the number (48) 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 475757568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851658444).

475757568 is an abundant number, since it is smaller than the sum of its proper divisors (1227559320).

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

475757568 is a wasteful number, since it uses less digits than its factorization.

475757568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 48 counting only the distinct ones).

The product of its digits is 8232000, while the sum is 54.

The square root of 475757568 is about 21811.8675954169. The cubic root of 475757568 is about 780.6599542789.

The spelling of 475757568 in words is "four hundred seventy-five million, seven hundred fifty-seven thousand, five hundred sixty-eight".