6434008504416 has 576 divisors, whose sum is σ = 19628192263680. Its totient is φ = 1994913423360.

The previous prime is 6434008504387. The next prime is 6434008504421. The reversal of 6434008504416 is 6144058004346.

6434008504416 is a `hidden beast` number, since 64 + 3 + 40 + 0 + 8 + 504 + 41 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11307571780 + ... + 11307572348.

It is an arithmetic number, because the mean of its divisors is an integer number (34076722680).

Almost surely, 2^{6434008504416} 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 6434008504416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9814096131840).

6434008504416 is an abundant number, since it is smaller than the sum of its proper divisors (13194183759264).

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

6434008504416 is a wasteful number, since it uses less digits than its factorization.

6434008504416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 6434008504416 in words is "six trillion, four hundred thirty-four billion, eight million, five hundred four thousand, four hundred sixteen".