487568448000 has 480 divisors, whose sum is σ = 1786019526720. Its totient is φ = 127805644800.

The previous prime is 487568447999. The next prime is 487568448001. The reversal of 487568448000 is 844865784.

487568448000 is a `hidden beast` number, since 4 + 87 + 5 + 6 + 84 + 480 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (487568447999) and next prime (487568448001).

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (487568448001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33976827 + ... + 33991173.

It is an arithmetic number, because the mean of its divisors is an integer number (3720874014).

Almost surely, 2^487568448000 is an apocalyptic number.

487568448000 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 487568448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893009763360).

487568448000 is an abundant number, since it is smaller than the sum of its proper divisors (1298451078720).

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

487568448000 is a wasteful number, since it uses less digits than its factorization.

487568448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14445 (or 14416 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 487568448000 in words is "four hundred eighty-seven billion, five hundred sixty-eight million, four hundred forty-eight thousand".