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6720760320 = 29353128229
BaseRepresentation
bin1100100001001011…
…01010101000000000
3122100101021222221220
412100211222220000
5102231003312240
63030521115040
7325355343261
oct62045525000
918311258856
106720760320
11293976a77a
121376928a80
138314c6671
1447a82c968
1529505b5d0
hex19096aa00

6720760320 has 160 divisors (see below), whose sum is σ = 22179294720. Its totient is φ = 1734328320.

The previous prime is 6720760273. The next prime is 6720760349. The reversal of 6720760320 is 230670276.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 223966 + ... + 252194.

It is an arithmetic number, because the mean of its divisors is an integer number (138620592).

Almost surely, 26720760320 is an apocalyptic number.

6720760320 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 6720760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11089647360).

6720760320 is an abundant number, since it is smaller than the sum of its proper divisors (15458534400).

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

6720760320 is a wasteful number, since it uses less digits than its factorization.

6720760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28286 (or 28270 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 6720760320 is about 81980.2434736565. The cubic root of 6720760320 is about 1887.1487592261.

The spelling of 6720760320 in words is "six billion, seven hundred twenty million, seven hundred sixty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 512 620 640 744 768 930 960 992 1240 1280 1488 1536 1860 1920 1984 2480 2560 2976 3720 3840 3968 4960 5952 7440 7680 7936 9920 11904 14880 15872 19840 23808 28229 29760 39680 47616 56458 59520 79360 84687 112916 119040 141145 169374 225832 238080 282290 338748 423435 451664 564580 677496 846870 875099 903328 1129160 1354992 1693740 1750198 1806656 2258320 2625297 2709984 3387480 3500396 3613312 4375495 4516640 5250594 5419968 6774960 7000792 7226624 8750990 9033280 10501188 10839936 13126485 13549920 14001584 14453248 17501980 18066560 21002376 21679872 26252970 27099840 28003168 35003960 36133120 42004752 43359744 52505940 54199680 56006336 70007920 72266240 84009504 105011880 108399360 112012672 140015840 168019008 210023760 216798720 224025344 280031680 336038016 420047520 448050688 560063360 672076032 840095040 1120126720 1344152064 1680190080 2240253440 3360380160 6720760320