640204816384 has 405 divisors, whose sum is σ = 1606083319323. Its totient is φ = 254402297856.

The previous prime is 640204816367. The next prime is 640204816411. The reversal of 640204816384 is 483618402046.

It is a happy number.

The square root of 640204816384 is 800128.

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

It is a super-3 number, since 3×640204816384³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13621379049 + ... + 13621379095.

Almost surely, 2^640204816384 is an apocalyptic number.

640204816384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

640204816384 is the 800128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640204816384

640204816384 is an abundant number, since it is smaller than the sum of its proper divisors (965878502939).

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

640204816384 is an frugal number, since it uses more digits than its factorization.

640204816384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 46.

The spelling of 640204816384 in words is "six hundred forty billion, two hundred four million, eight hundred sixteen thousand, three hundred eighty-four".