487675312128 has 576 divisors, whose sum is σ = 1497138552000. Its totient is φ = 152764416000.

The previous prime is 487675312109. The next prime is 487675312141. The reversal of 487675312128 is 821213576784.

487675312128 is a `hidden beast` number, since 4 + 8 + 7 + 67 + 531 + 21 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 3272988598 + ... + 3272988746.

It is an arithmetic number, because the mean of its divisors is an integer number (2599198875).

Almost surely, 2^487675312128 is an apocalyptic number.

487675312128 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 487675312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748569276000).

487675312128 is an abundant number, since it is smaller than the sum of its proper divisors (1009463239872).

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

487675312128 is a wasteful number, since it uses less digits than its factorization.

487675312128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 327 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 487675312128 in words is "four hundred eighty-seven billion, six hundred seventy-five million, three hundred twelve thousand, one hundred twenty-eight".