475528112640 has 1200 divisors, whose sum is σ = 2098570439592. Its totient is φ = 102261325824.

The previous prime is 475528112557. The next prime is 475528112651. The reversal of 475528112640 is 46211825574.

475528112640 is a `hidden beast` number, since 4 + 7 + 5 + 528 + 112 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 473982679296 + 1545433344 = 688464^2 + 39312^2 .

It is a super-2 number, since 2×475528112640² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 172729504 + ... + 172732256.

Almost surely, 2^475528112640 is an apocalyptic number.

475528112640 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 475528112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049285219796).

475528112640 is an abundant number, since it is smaller than the sum of its proper divisors (1623042326952).

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

475528112640 is a wasteful number, since it uses less digits than its factorization.

475528112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 475528112640 in words is "four hundred seventy-five billion, five hundred twenty-eight million, one hundred twelve thousand, six hundred forty".