476765568 has 256 divisors, whose sum is σ = 1498176000. Its totient is φ = 149022720.

The previous prime is 476765567. The next prime is 476765579. The reversal of 476765568 is 865567674.

476765568 is a `hidden beast` number, since 4 + 7 + 6 + 76 + 5 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476765567) 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, 6714973 + ... + 6715043.

It is an arithmetic number, because the mean of its divisors is an integer number (5852250).

Almost surely, 2^476765568 is an apocalyptic number.

476765568 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 476765568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749088000).

476765568 is an abundant number, since it is smaller than the sum of its proper divisors (1021410432).

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

476765568 is a wasteful number, since it uses less digits than its factorization.

476765568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 172 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 476765568 is about 21834.9620562986. The cubic root of 476765568 is about 781.2109002469.

The spelling of 476765568 in words is "four hundred seventy-six million, seven hundred sixty-five thousand, five hundred sixty-eight".