634446644436 has 192 divisors, whose sum is σ = 1809987379200. Its totient is φ = 190589068800.

The previous prime is 634446644431. The next prime is 634446644497.

634446644436 is a `hidden beast` number, since 63 + 44 + 46 + 64 + 443 + 6 = 666.

634446644436 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×634446644436² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634446644431) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 223947276 + ... + 223950108.

It is an arithmetic number, because the mean of its divisors is an integer number (9427017600).

Almost surely, 2^634446644436 is an apocalyptic number.

634446644436 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 634446644436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904993689600).

634446644436 is an abundant number, since it is smaller than the sum of its proper divisors (1175540734764).

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

634446644436 is a wasteful number, since it uses less digits than its factorization.

634446644436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4419 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 54.

The spelling of 634446644436 in words is "six hundred thirty-four billion, four hundred forty-six million, six hundred forty-four thousand, four hundred thirty-six".