475613405520 has 640 divisors, whose sum is σ = 1728383090688. Its totient is φ = 107100364800.

The previous prime is 475613405479. The next prime is 475613405521. The reversal of 475613405520 is 25504316574.

It is a super-2 number, since 2×475613405520² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475613405521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 203862274 + ... + 203864606.

Almost surely, 2^475613405520 is an apocalyptic number.

475613405520 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 475613405520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864191545344).

475613405520 is an abundant number, since it is smaller than the sum of its proper divisors (1252769685168).

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

475613405520 is a wasteful number, since it uses less digits than its factorization.

475613405520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 475613405520 in words is "four hundred seventy-five billion, six hundred thirteen million, four hundred five thousand, five hundred twenty".