487793067840000 has 4800 divisors, whose sum is σ = 2096016152630400. Its totient is φ = 112225222656000.

The previous prime is 487793067839879. The next prime is 487793067840059. The reversal of 487793067840000 is 48760397784.

487793067840000 is a `hidden beast` number, since 4 + 8 + 77 + 93 + 0 + 6 + 78 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a self number, because there is not a number n which added to its sum of digits gives 487793067840000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2093532479884 + ... + 2093532480116.

It is an arithmetic number, because the mean of its divisors is an integer number (436670031798).

Almost surely, 2^{487793067840000} is an apocalyptic number.

487793067840000 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 487793067840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048008076315200).

487793067840000 is an abundant number, since it is smaller than the sum of its proper divisors (1608223084790400).

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

487793067840000 is a wasteful number, since it uses less digits than its factorization.

487793067840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 487793067840000 in words is "four hundred eighty-seven trillion, seven hundred ninety-three billion, sixty-seven million, eight hundred forty thousand".