| Base | Representation |
|---|---|
| bin | 100110001111100… |
| … | …000110010000000 |
| 3 | 1122201021200121200 |
| 4 | 212033200302000 |
| 5 | 2303222210030 |
| 6 | 143355421200 |
| 7 | 21620341542 |
| oct | 4617406200 |
| 9 | 1581250550 |
| 10 | 641600640 |
| 11 | 2aa19206a |
| 12 | 15aa54800 |
| 13 | a2c02b65 |
| 14 | 612d5692 |
| 15 | 3b4d8d60 |
| hex | 263e0c80 |
641600640 has 384 divisors, whose sum is σ = 2405894400. Its totient is φ = 157065216.
The previous prime is 641600627. The next prime is 641600711. The reversal of 641600640 is 46006146.
641600640 is a `hidden beast` number, since 6 + 4 + 16 + 0 + 0 + 640 = 666.
641600640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (384).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3841837 + ... + 3842003.
It is an arithmetic number, because the mean of its divisors is an integer number (6265350).
Almost surely, 2641600640 is an apocalyptic number.
641600640 is a gapful number since it is divisible by the number (60) 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 641600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202947200).
641600640 is an abundant number, since it is smaller than the sum of its proper divisors (1764293760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
641600640 is a wasteful number, since it uses less digits than its factorization.
641600640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 244 (or 229 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 641600640 is about 25329.8369517058. The cubic root of 641600640 is about 862.4917100652.
Adding to 641600640 its reverse (46006146), we get a palindrome (687606786).
The spelling of 641600640 in words is "six hundred forty-one million, six hundred thousand, six hundred forty".
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