635671344100 has 81 divisors (see below), whose sum is σ = 1493920791153. Its totient is φ = 234671149440.

The previous prime is 635671344097. The next prime is 635671344103. The reversal of 635671344100 is 1443176536.

The square root of 635671344100 is 797290.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (635671344097) and next prime (635671344103).

It can be written as a sum of positive squares in 13 ways, for example, as 271038936996 + 364632407104 = 520614^2 + 603848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (635671344103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 103644634 + ... + 103650766.

Almost surely, 2^635671344100 is an apocalyptic number.

635671344100 is the 797290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 635671344100

635671344100 is an abundant number, since it is smaller than the sum of its proper divisors (858249447053).

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

635671344100 is an equidigital number, since it uses as much as digits as its factorization.

635671344100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12306 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 635671344100 in words is "six hundred thirty-five billion, six hundred seventy-one million, three hundred forty-four thousand, one hundred".