475682977728 has 336 divisors, whose sum is σ = 1643532135840. Its totient is φ = 134505971712.

The previous prime is 475682977723. The next prime is 475682977771. The reversal of 475682977728 is 827779286574.

It is a happy number.

475682977728 is a `hidden beast` number, since 475 + 6 + 82 + 9 + 7 + 7 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475682977723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8184226 + ... + 8242142.

It is an arithmetic number, because the mean of its divisors is an integer number (4891464690).

Almost surely, 2^475682977728 is an apocalyptic number.

475682977728 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 475682977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821766067920).

475682977728 is an abundant number, since it is smaller than the sum of its proper divisors (1167849158112).

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

475682977728 is a wasteful number, since it uses less digits than its factorization.

475682977728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58049 (or 58026 counting only the distinct ones).

The product of its digits is 663828480, while the sum is 72.

The spelling of 475682977728 in words is "four hundred seventy-five billion, six hundred eighty-two million, nine hundred seventy-seven thousand, seven hundred twenty-eight".