476880271845120 has 2160 divisors, whose sum is σ = 2041275377433600. Its totient is φ = 105360286187520.

The previous prime is 476880271845101. The next prime is 476880271845127. The reversal of 476880271845120 is 21548172088674.

476880271845120 is a `hidden beast` number, since 4 + 7 + 6 + 8 + 80 + 27 + 18 + 4 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476880271845127) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15226532821 + ... + 15226564139.

It is an arithmetic number, because the mean of its divisors is an integer number (945034896960).

Almost surely, 2^{476880271845120} is an apocalyptic number.

476880271845120 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 476880271845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020637688716800).

476880271845120 is an abundant number, since it is smaller than the sum of its proper divisors (1564395105588480).

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

476880271845120 is a wasteful number, since it uses less digits than its factorization.

476880271845120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31468 (or 31432 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 476880271845120 in words is "four hundred seventy-six trillion, eight hundred eighty billion, two hundred seventy-one million, eight hundred forty-five thousand, one hundred twenty".