475680054528 has 648 divisors, whose sum is σ = 1656618372864. Its totient is φ = 128528916480.

The previous prime is 475680054511. The next prime is 475680054539. The reversal of 475680054528 is 825450086574.

475680054528 is a `hidden beast` number, since 4 + 7 + 5 + 68 + 0 + 0 + 54 + 528 = 666.

It is a super-2 number, since 2×475680054528² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 728453050 + ... + 728453702.

Almost surely, 2^475680054528 is an apocalyptic number.

475680054528 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 475680054528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828309186432).

475680054528 is an abundant number, since it is smaller than the sum of its proper divisors (1180938318336).

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

475680054528 is a wasteful number, since it uses less digits than its factorization.

475680054528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 475680054528 in words is "four hundred seventy-five billion, six hundred eighty million, fifty-four thousand, five hundred twenty-eight".