6434105675752 has 64 divisors (see below), whose sum is σ = 13198056883200. Its totient is φ = 2927384478720.

The previous prime is 6434105675747. The next prime is 6434105675801. The reversal of 6434105675752 is 2575765014346.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6434105675693 and 6434105675702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3763774 + ... + 5199442.

It is an arithmetic number, because the mean of its divisors is an integer number (206219638800).

Almost surely, 2^{6434105675752} is an apocalyptic number.

6434105675752 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

6434105675752 is an abundant number, since it is smaller than the sum of its proper divisors (6763951207448).

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

6434105675752 is a wasteful number, since it uses less digits than its factorization.

6434105675752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436786 (or 1436782 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 55.

The spelling of 6434105675752 in words is "six trillion, four hundred thirty-four billion, one hundred five million, six hundred seventy-five thousand, seven hundred fifty-two".