6487519887360 has 384 divisors, whose sum is σ = 23012967566160. Its totient is φ = 1689756106752.

The previous prime is 6487519887349. The next prime is 6487519887397. The reversal of 6487519887360 is 637889157846.

6487519887360 is a `hidden beast` number, since 6 + 4 + 8 + 75 + 198 + 8 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 63354922 + ... + 63457238.

Almost surely, 2^{6487519887360} is an apocalyptic number.

6487519887360 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 6487519887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11506483783080).

6487519887360 is an abundant number, since it is smaller than the sum of its proper divisors (16525447678800).

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

6487519887360 is a wasteful number, since it uses less digits than its factorization.

6487519887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102401 (or 102370 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 6487519887360 in words is "six trillion, four hundred eighty-seven billion, five hundred nineteen million, eight hundred eighty-seven thousand, three hundred sixty".