6487458658800 has 480 divisors, whose sum is σ = 24316858621440. Its totient is φ = 1447513804800.

The previous prime is 6487458658799. The next prime is 6487458658831. The reversal of 6487458658800 is 88568547846.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 773325006 + ... + 773333394.

It is an arithmetic number, because the mean of its divisors is an integer number (50660122128).

Almost surely, 2^{6487458658800} is an apocalyptic number.

6487458658800 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 6487458658800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12158429310720).

6487458658800 is an abundant number, since it is smaller than the sum of its proper divisors (17829399962640).

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

6487458658800 is a wasteful number, since it uses less digits than its factorization.

6487458658800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10601 (or 10590 counting only the distinct ones).

The product of its (nonzero) digits is 412876800, while the sum is 69.

The spelling of 6487458658800 in words is "six trillion, four hundred eighty-seven billion, four hundred fifty-eight million, six hundred fifty-eight thousand, eight hundred".