| Base | Representation |
|---|---|
| bin | 111111111010111101… |
| … | …000100000011000000 |
| 3 | 20120011021112011002000 |
| 4 | 333322331010003000 |
| 5 | 2111031003231200 |
| 6 | 51310322224000 |
| 7 | 4646556231240 |
| oct | 777275040300 |
| 9 | 216137464060 |
| 10 | 68634820800 |
| 11 | 271206267a7 |
| 12 | 113757b5000 |
| 13 | 661a66b200 |
| 14 | 34715a9b20 |
| 15 | 1bba848300 |
| hex | ffaf440c0 |
68634820800 has 2016 divisors, whose sum is σ = 331993036800. Its totient is φ = 13456834560.
The previous prime is 68634820777. The next prime is 68634820801. The reversal of 68634820800 is 802843686.
It is a happy number.
68634820800 is a `hidden beast` number, since 6 + 8 + 634 + 8 + 2 + 0 + 8 + 0 + 0 = 666.
68634820800 is digitally balanced in base 2, 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 (2016).
It is a super-2 number, since 2×686348208002 (a number of 22 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (68634820801) by changing a digit.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 868795161 + ... + 868795239.
Almost surely, 268634820800 is an apocalyptic number.
68634820800 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 68634820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165996518400).
68634820800 is an abundant number, since it is smaller than the sum of its proper divisors (263358216000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68634820800 is a wasteful number, since it uses less digits than its factorization.
68634820800 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 160 (or 126 counting only the distinct ones).
The product of its (nonzero) digits is 442368, while the sum is 45.
The spelling of 68634820800 in words is "sixty-eight billion, six hundred thirty-four million, eight hundred twenty thousand, eight hundred".
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