634674476436 has 384 divisors, whose sum is σ = 2047897313280. Its totient is φ = 147636172800.

The previous prime is 634674476347. The next prime is 634674476459.

634674476436 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 634674476436.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 172886881 + ... + 172890551.

It is an arithmetic number, because the mean of its divisors is an integer number (5333065920).

Almost surely, 2^634674476436 is an apocalyptic number.

634674476436 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 634674476436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023948656640).

634674476436 is an abundant number, since it is smaller than the sum of its proper divisors (1413222836844).

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

634674476436 is a wasteful number, since it uses less digits than its factorization.

634674476436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4135 (or 4133 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 60.

The spelling of 634674476436 in words is "six hundred thirty-four billion, six hundred seventy-four million, four hundred seventy-six thousand, four hundred thirty-six".