476682587816680 has 128 divisors (see below), whose sum is σ = 1237127059111680. Its totient is φ = 161921856245760.

The previous prime is 476682587816657. The next prime is 476682587816767. The reversal of 476682587816680 is 86618785286674.

It is a super-3 number, since 3×476682587816680³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 476682587816594 and 476682587816603.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11884752 + ... + 33084928.

It is an arithmetic number, because the mean of its divisors is an integer number (9665055149310).

Almost surely, 2^{476682587816680} is an apocalyptic number.

476682587816680 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 476682587816680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618563529555840).

476682587816680 is an abundant number, since it is smaller than the sum of its proper divisors (760444471295000).

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

476682587816680 is a wasteful number, since it uses less digits than its factorization.

476682587816680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21200939 (or 21200935 counting only the distinct ones).

The product of its (nonzero) digits is 10404495360, while the sum is 82.

The spelling of 476682587816680 in words is "four hundred seventy-six trillion, six hundred eighty-two billion, five hundred eighty-seven million, eight hundred sixteen thousand, six hundred eighty".