640630032768 has 768 divisors, whose sum is σ = 2135151083520. Its totient is φ = 182601216000.

The previous prime is 640630032743. The next prime is 640630032797. The reversal of 640630032768 is 867230036046.

640630032768 is a `hidden beast` number, since 6 + 4 + 0 + 630 + 0 + 3 + 2 + 7 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2872780305 + ... + 2872780527.

It is an arithmetic number, because the mean of its divisors is an integer number (2780144640).

Almost surely, 2^640630032768 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 640630032768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067575541760).

640630032768 is an abundant number, since it is smaller than the sum of its proper divisors (1494521050752).

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

640630032768 is a wasteful number, since it uses less digits than its factorization.

640630032768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 640630032768 in words is "six hundred forty billion, six hundred thirty million, thirty-two thousand, seven hundred sixty-eight".