6504642689832 has 256 divisors, whose sum is σ = 20853116928000. Its totient is φ = 1840175698176.

The previous prime is 6504642689827. The next prime is 6504642689837. The reversal of 6504642689832 is 2389862464056.

It is a happy number.

6504642689832 is a `hidden beast` number, since 6 + 50 + 4 + 6 + 426 + 89 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6504642689827) and next prime (6504642689837).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 6504642689832.

It is not an unprimeable number, because it can be changed into a prime (6504642689837) 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, 362225398 + ... + 362243354.

It is an arithmetic number, because the mean of its divisors is an integer number (81457488000).

Almost surely, 2^{6504642689832} 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 6504642689832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10426558464000).

6504642689832 is an abundant number, since it is smaller than the sum of its proper divisors (14348474238168).

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

6504642689832 is a wasteful number, since it uses less digits than its factorization.

6504642689832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20325 (or 20315 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 6504642689832 in words is "six trillion, five hundred four billion, six hundred forty-two million, six hundred eighty-nine thousand, eight hundred thirty-two".