640545216192 has 448 divisors, whose sum is σ = 2191838745600. Its totient is φ = 181906891776.

The previous prime is 640545216163. The next prime is 640545216193. The reversal of 640545216192 is 291612545046.

640545216192 is a `hidden beast` number, since 6 + 4 + 0 + 5 + 4 + 5 + 21 + 619 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (640545216193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 169499359 + ... + 169503137.

It is an arithmetic number, because the mean of its divisors is an integer number (4892497200).

Almost surely, 2^640545216192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640545216192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095919372800).

640545216192 is an abundant number, since it is smaller than the sum of its proper divisors (1551293529408).

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

640545216192 is an equidigital number, since it uses as much as digits as its factorization.

640545216192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 640545216192 in words is "six hundred forty billion, five hundred forty-five million, two hundred sixteen thousand, one hundred ninety-two".