6487709745888 has 648 divisors, whose sum is σ = 22404945654000. Its totient is φ = 1843734638592.

The previous prime is 6487709745877. The next prime is 6487709745889. The reversal of 6487709745888 is 8885479077846.

6487709745888 is a `hidden beast` number, since 6 + 4 + 8 + 7 + 70 + 97 + 458 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6487709745889) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2047240368 + ... + 2047243536.

Almost surely, 2^{6487709745888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6487709745888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11202472827000).

6487709745888 is an abundant number, since it is smaller than the sum of its proper divisors (15917235908112).

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

6487709745888 is an equidigital number, since it uses as much as digits as its factorization.

6487709745888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 6069288960, while the sum is 81.

The spelling of 6487709745888 in words is "six trillion, four hundred eighty-seven billion, seven hundred nine million, seven hundred forty-five thousand, eight hundred eighty-eight".