475598934720 has 2688 divisors, whose sum is σ = 2284683264000. Its totient is φ = 90833633280.

The previous prime is 475598934703. The next prime is 475598934763. The reversal of 475598934720 is 27439895574.

475598934720 is a `hidden beast` number, since 4 + 7 + 5 + 598 + 9 + 34 + 7 + 2 + 0 = 666.

It is a super-3 number, since 3×475598934720³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6020239641 + ... + 6020239719.

Almost surely, 2^475598934720 is an apocalyptic number.

475598934720 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 475598934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142341632000).

475598934720 is an abundant number, since it is smaller than the sum of its proper divisors (1809084329280).

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

475598934720 is a wasteful number, since it uses less digits than its factorization.

475598934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 475598934720 in words is "four hundred seventy-five billion, five hundred ninety-eight million, nine hundred thirty-four thousand, seven hundred twenty".