634189605504 has 512 divisors, whose sum is σ = 2208611059200. Its totient is φ = 157395124224.

The previous prime is 634189605493. The next prime is 634189605509. The reversal of 634189605504 is 405506981436.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (634189605509) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100390954 + ... + 100397270.

It is an arithmetic number, because the mean of its divisors is an integer number (4313693475).

Almost surely, 2^634189605504 is an apocalyptic number.

634189605504 is a gapful number since it is divisible by the number (64) 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 634189605504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104305529600).

634189605504 is an abundant number, since it is smaller than the sum of its proper divisors (1574421453696).

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

634189605504 is a wasteful number, since it uses less digits than its factorization.

634189605504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397 (or 6359 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 634189605504 in words is "six hundred thirty-four billion, one hundred eighty-nine million, six hundred five thousand, five hundred four".