477786771168 has 144 divisors (see below), whose sum is σ = 1459249102080. Its totient is φ = 136483087104.

The previous prime is 477786771151. The next prime is 477786771169. The reversal of 477786771168 is 861177687774.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477786771169) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 40556703 + ... + 40568481.

It is an arithmetic number, because the mean of its divisors is an integer number (10133674320).

Almost surely, 2^477786771168 is an apocalyptic number.

477786771168 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 477786771168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729624551040).

477786771168 is an abundant number, since it is smaller than the sum of its proper divisors (981462330912).

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

477786771168 is a wasteful number, since it uses less digits than its factorization.

477786771168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20429 (or 20414 counting only the distinct ones).

The product of its digits is 154893312, while the sum is 69.

The spelling of 477786771168 in words is "four hundred seventy-seven billion, seven hundred eighty-six million, seven hundred seventy-one thousand, one hundred sixty-eight".