487875648960 has 1344 divisors, whose sum is σ = 2125925867520. Its totient is φ = 104091402240.

The previous prime is 487875648959. The next prime is 487875649007. The reversal of 487875648960 is 69846578784.

487875648960 is a `hidden beast` number, since 4 + 8 + 7 + 87 + 5 + 6 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×487875648960² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 489343182 + ... + 489344178.

It is an arithmetic number, because the mean of its divisors is an integer number (1581790080).

Almost surely, 2^487875648960 is an apocalyptic number.

487875648960 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 487875648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062962933760).

487875648960 is an abundant number, since it is smaller than the sum of its proper divisors (1638050218560).

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

487875648960 is a wasteful number, since it uses less digits than its factorization.

487875648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 487875648960 in words is "four hundred eighty-seven billion, eight hundred seventy-five million, six hundred forty-eight thousand, nine hundred sixty".