640908604224 has 1008 divisors, whose sum is σ = 2355985981440. Its totient is φ = 169032821760.

The previous prime is 640908604211. The next prime is 640908604289. The reversal of 640908604224 is 422406809046.

640908604224 is a `hidden beast` number, since 64 + 0 + 90 + 86 + 0 + 422 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 640908604224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1785260557 + ... + 1785260915.

It is an arithmetic number, because the mean of its divisors is an integer number (2337287680).

Almost surely, 2^640908604224 is an apocalyptic number.

640908604224 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 640908604224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177992990720).

640908604224 is an abundant number, since it is smaller than the sum of its proper divisors (1715077377216).

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

640908604224 is a wasteful number, since it uses less digits than its factorization.

640908604224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 640908604224 in words is "six hundred forty billion, nine hundred eight million, six hundred four thousand, two hundred twenty-four".