640409730048 has 528 divisors, whose sum is σ = 2084997822336. Its totient is φ = 187642183680.

The previous prime is 640409730019. The next prime is 640409730109. The reversal of 640409730048 is 840037904046.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 640409729985 and 640409730012.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 466430290 + ... + 466431662.

It is an arithmetic number, because the mean of its divisors is an integer number (3948859512).

Almost surely, 2^640409730048 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 640409730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042498911168).

640409730048 is an abundant number, since it is smaller than the sum of its proper divisors (1444588092288).

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

640409730048 is a wasteful number, since it uses less digits than its factorization.

640409730048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 640409730048 in words is "six hundred forty billion, four hundred nine million, seven hundred thirty thousand, forty-eight".