475457568768 has 1200 divisors, whose sum is σ = 1818863140864. Its totient is φ = 120394874880.

The previous prime is 475457568749. The next prime is 475457568797. The reversal of 475457568768 is 867865754574.

475457568768 is a `hidden beast` number, since 4 + 7 + 5 + 4 + 57 + 568 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 475457568696 and 475457568705.

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 79 ways as a sum of consecutive naturals, for example, 3743760321 + ... + 3743760447.

Almost surely, 2^475457568768 is an apocalyptic number.

475457568768 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 475457568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909431570432).

475457568768 is an abundant number, since it is smaller than the sum of its proper divisors (1343405572096).

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

475457568768 is a wasteful number, since it uses less digits than its factorization.

475457568768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 183 counting only the distinct ones).

The product of its digits is 1580544000, while the sum is 72.

The spelling of 475457568768 in words is "four hundred seventy-five billion, four hundred fifty-seven million, five hundred sixty-eight thousand, seven hundred sixty-eight".