634434434436 has 192 divisors, whose sum is σ = 1694225756160. Its totient is φ = 183060864000.

The previous prime is 634434434429. The next prime is 634434434449.

634434434436 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96400666 + ... + 96407246.

It is an arithmetic number, because the mean of its divisors is an integer number (8824092480).

Almost surely, 2^634434434436 is an apocalyptic number.

634434434436 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634434434436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847112878080).

634434434436 is an abundant number, since it is smaller than the sum of its proper divisors (1059791321724).

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

634434434436 is a wasteful number, since it uses less digits than its factorization.

634434434436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7066 (or 7064 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 48.

The spelling of 634434434436 in words is "six hundred thirty-four billion, four hundred thirty-four million, four hundred thirty-four thousand, four hundred thirty-six".