6486558230880 has 768 divisors, whose sum is σ = 27959602083840. Its totient is φ = 1367735279616.

The previous prime is 6486558230863. The next prime is 6486558230881. The reversal of 6486558230880 is 880328556846.

6486558230880 is a `hidden beast` number, since 6 + 48 + 6 + 5 + 582 + 3 + 0 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6486558230881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 775621579 + ... + 775629941.

It is an arithmetic number, because the mean of its divisors is an integer number (36405731880).

Almost surely, 2^{6486558230880} is an apocalyptic number.

6486558230880 is a gapful number since it is divisible by the number (60) 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 6486558230880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13979801041920).

6486558230880 is an abundant number, since it is smaller than the sum of its proper divisors (21473043852960).

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

6486558230880 is a wasteful number, since it uses less digits than its factorization.

6486558230880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10380 (or 10366 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 6486558230880 in words is "six trillion, four hundred eighty-six billion, five hundred fifty-eight million, two hundred thirty thousand, eight hundred eighty".