640096003600 has 135 divisors (see below), whose sum is σ = 1556309216007. Its totient is φ = 252998173440.

The previous prime is 640096003523. The next prime is 640096003619. The reversal of 640096003600 is 6300690046.

The square root of 640096003600 is 800060.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2346821136 + 637749182464 = 48444^2 + 798592^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1744130617 + ... + 1744130983.

Almost surely, 2^640096003600 is an apocalyptic number.

640096003600 is the 800060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640096003600

640096003600 is an abundant number, since it is smaller than the sum of its proper divisors (916213212407).

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

640096003600 is an equidigital number, since it uses as much as digits as its factorization.

640096003600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

Adding to 640096003600 its reverse (6300690046), we get a palindrome (646396693646).

The spelling of 640096003600 in words is "six hundred forty billion, ninety-six million, three thousand, six hundred".