6387256666752 has 512 divisors, whose sum is σ = 19592945971200. Its totient is φ = 1829317754880.

The previous prime is 6387256666751. The next prime is 6387256666793. The reversal of 6387256666752 is 2576666527836.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6387256666751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 455867427 + ... + 455881437.

It is an arithmetic number, because the mean of its divisors is an integer number (38267472600).

Almost surely, 2^{6387256666752} 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 6387256666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9796472985600).

6387256666752 is an abundant number, since it is smaller than the sum of its proper divisors (13205689304448).

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

6387256666752 is a wasteful number, since it uses less digits than its factorization.

6387256666752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14184 (or 14172 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 69.

The spelling of 6387256666752 in words is "six trillion, three hundred eighty-seven billion, two hundred fifty-six million, six hundred sixty-six thousand, seven hundred fifty-two".