6504081712128 has 3960 divisors, whose sum is σ = 28917603880704. Its totient is φ = 1429689139200.

The previous prime is 6504081712127. The next prime is 6504081712157. The reversal of 6504081712128 is 8212171804056.

6504081712128 is a `hidden beast` number, since 6 + 50 + 408 + 1 + 71 + 2 + 128 = 666.

It is not an unprimeable number, because it can be changed into a prime (6504081712127) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 209809087473 + ... + 209809087503.

Almost surely, 2^{6504081712128} 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 6504081712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14458801940352).

6504081712128 is an abundant number, since it is smaller than the sum of its proper divisors (22413522168576).

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

6504081712128 is a wasteful number, since it uses less digits than its factorization.

6504081712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 6504081712128 in words is "six trillion, five hundred four billion, eighty-one million, seven hundred twelve thousand, one hundred twenty-eight".