6403616206434 has 96 divisors (see below), whose sum is σ = 14892821863920. Its totient is φ = 1984559947776.

The previous prime is 6403616206409. The next prime is 6403616206457. The reversal of 6403616206434 is 4346026163046.

6403616206434 is a `hidden beast` number, since 6 + 4 + 0 + 3 + 6 + 1 + 6 + 206 + 434 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2956002805809 + 3447613400625 = 1719303^2 + 1856775^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6403616206434.

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 47 ways as a sum of consecutive naturals, for example, 164422 + ... + 3582494.

Almost surely, 2^{6403616206434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6403616206434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7446410931960).

6403616206434 is an abundant number, since it is smaller than the sum of its proper divisors (8489205657486).

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

6403616206434 is a wasteful number, since it uses less digits than its factorization.

6403616206434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3418244 (or 3418241 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 6403616206434 in words is "six trillion, four hundred three billion, six hundred sixteen million, two hundred six thousand, four hundred thirty-four".