477127647247680 has 2016 divisors, whose sum is σ = 2051683045671168. Its totient is φ = 100314198835200.

The previous prime is 477127647247679. The next prime is 477127647247711. The reversal of 477127647247680 is 86742746721774.

477127647247680 is a `hidden beast` number, since 4 + 7 + 7 + 1 + 2 + 7 + 6 + 4 + 72 + 476 + 80 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 477127647247599 and 477127647247608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 75102727384 + ... + 75102733736.

It is an arithmetic number, because the mean of its divisors is an integer number (1017699923448).

Almost surely, 2^{477127647247680} is an apocalyptic number.

477127647247680 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 477127647247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025841522835584).

477127647247680 is an abundant number, since it is smaller than the sum of its proper divisors (1574555398423488).

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

477127647247680 is a wasteful number, since it uses less digits than its factorization.

477127647247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7065 (or 7035 counting only the distinct ones).

The product of its (nonzero) digits is 1239146496, while the sum is 72.

The spelling of 477127647247680 in words is "four hundred seventy-seven trillion, one hundred twenty-seven billion, six hundred forty-seven million, two hundred forty-seven thousand, six hundred eighty".