| Base | Representation |
|---|---|
| bin | 111110100101011110… |
| … | …000110011010000000 |
| 3 | 20102110022212020202022 |
| 4 | 332211132012122000 |
| 5 | 2100111331000030 |
| 6 | 50512130541012 |
| 7 | 4566203010050 |
| oct | 764536063200 |
| 9 | 212408766668 |
| 10 | 67200640640 |
| 11 | 26555011a41 |
| 12 | 11035437768 |
| 13 | 644c4b2bb3 |
| 14 | 3376d1b560 |
| 15 | 1b349a0de5 |
| hex | fa5786680 |
67200640640 has 128 divisors (see below), whose sum is σ = 183697528320. Its totient is φ = 23028203520.
The previous prime is 67200640607. The next prime is 67200640643. The reversal of 67200640640 is 4604600276.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×672006406402 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (35).
67200640640 is a modest number, since divided by 640640 gives 67200 as remainder.
It is a self number, because there is not a number n which added to its sum of digits gives 67200640640.
It is not an unprimeable number, because it can be changed into a prime (67200640643) 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 15 ways as a sum of consecutive naturals, for example, 15055049 + ... + 15059511.
It is an arithmetic number, because the mean of its divisors is an integer number (1435136940).
Almost surely, 267200640640 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 67200640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91848764160).
67200640640 is an abundant number, since it is smaller than the sum of its proper divisors (116496887680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67200640640 is a wasteful number, since it uses less digits than its factorization.
67200640640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7850 (or 7838 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 35.
The spelling of 67200640640 in words is "sixty-seven billion, two hundred million, six hundred forty thousand, six hundred forty".
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