635642641984 has 189 divisors, whose sum is σ = 1536339434427. Its totient is φ = 260153042688.

The previous prime is 635642641901. The next prime is 635642641987. The reversal of 635642641984 is 489146246536.

The square root of 635642641984 is 797272.

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

It is a super-4 number, since 4×635642641984⁴ (a number of 48 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (635642641987) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1026886027 + ... + 1026886645.

Almost surely, 2^635642641984 is an apocalyptic number.

635642641984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

635642641984 is the 797272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 635642641984

635642641984 is an abundant number, since it is smaller than the sum of its proper divisors (900696792443).

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

635642641984 is an frugal number, since it uses more digits than its factorization.

635642641984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 651 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 58.

The spelling of 635642641984 in words is "six hundred thirty-five billion, six hundred forty-two million, six hundred forty-one thousand, nine hundred eighty-four".