6487112655360 has 3200 divisors, whose sum is σ = 27721054310400. Its totient is φ = 1438793072640.

The previous prime is 6487112655349. The next prime is 6487112655403. The reversal of 6487112655360 is 635562117846.

It is a happy number.

6487112655360 is a `hidden beast` number, since 6 + 4 + 8 + 7 + 1 + 1 + 26 + 553 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6487112655297 and 6487112655306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 72888906196 + ... + 72888906284.

It is an arithmetic number, because the mean of its divisors is an integer number (8662829472).

Almost surely, 2^{6487112655360} is an apocalyptic number.

6487112655360 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 6487112655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13860527155200).

6487112655360 is an abundant number, since it is smaller than the sum of its proper divisors (21233941655040).

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

6487112655360 is a wasteful number, since it uses less digits than its factorization.

6487112655360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 6487112655360 in words is "six trillion, four hundred eighty-seven billion, one hundred twelve million, six hundred fifty-five thousand, three hundred sixty".