476843961600 has 648 divisors, whose sum is σ = 1812577784472. Its totient is φ = 119183769600.

The previous prime is 476843961589. The next prime is 476843961619. The reversal of 476843961600 is 6169348674.

476843961600 is a `hidden beast` number, since 47 + 6 + 8 + 439 + 6 + 160 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 48625542144 + 428218419456 = 220512^2 + 654384^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 275154334 + ... + 275156066.

It is an arithmetic number, because the mean of its divisors is an integer number (2797187939).

Almost surely, 2^476843961600 is an apocalyptic number.

476843961600 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 476843961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906288892236).

476843961600 is an abundant number, since it is smaller than the sum of its proper divisors (1335733822872).

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

476843961600 is a wasteful number, since it uses less digits than its factorization.

476843961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 476843961600 in words is "four hundred seventy-six billion, eight hundred forty-three million, nine hundred sixty-one thousand, six hundred".