475886416320 has 1008 divisors, whose sum is σ = 1979661954816. Its totient is φ = 104509440000.

The previous prime is 475886416303. The next prime is 475886416339. The reversal of 475886416320 is 23614688574.

It is a happy number.

475886416320 is a `hidden beast` number, since 47 + 588 + 6 + 4 + 16 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 791824020 + ... + 791824620.

It is an arithmetic number, because the mean of its divisors is an integer number (1963950352).

Almost surely, 2^475886416320 is an apocalyptic number.

475886416320 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 475886416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989830977408).

475886416320 is an abundant number, since it is smaller than the sum of its proper divisors (1503775538496).

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

475886416320 is a wasteful number, since it uses less digits than its factorization.

475886416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 475886416320 in words is "four hundred seventy-five billion, eight hundred eighty-six million, four hundred sixteen thousand, three hundred twenty".