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63480000640 = 275722363541
BaseRepresentation
bin111011000111101100…
…111111000010000000
320001212000211011011211
4323013230333002000
52020001340010030
645055020415504
74405044050110
oct730754770200
9201760734154
1063480000640
1124a15895051
12103773a7594
135ca8713774
143102b27040
1519b800e12a
hexec7b3f080

63480000640 has 128 divisors (see below), whose sum is σ = 174216913920. Its totient is φ = 21666631680.

The previous prime is 63480000629. The next prime is 63480000671. The reversal of 63480000640 is 4600008436.

63480000640 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 (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 967270 + ... + 1030810.

It is an arithmetic number, because the mean of its divisors is an integer number (1361069640).

Almost surely, 263480000640 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 63480000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87108456960).

63480000640 is an abundant number, since it is smaller than the sum of its proper divisors (110736913280).

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

63480000640 is a wasteful number, since it uses less digits than its factorization.

63480000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63790 (or 63778 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 63480000640 in words is "sixty-three billion, four hundred eighty million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 223 224 280 320 446 448 560 640 892 896 1115 1120 1561 1784 2230 2240 3122 3568 4460 4480 6244 7136 7805 8920 12488 14272 15610 17840 24976 28544 31220 35680 49952 62440 63541 71360 99904 124880 127082 142720 199808 249760 254164 317705 444787 499520 508328 635410 889574 999040 1016656 1270820 1779148 2033312 2223935 2541640 3558296 4066624 4447870 5083280 7116592 8133248 8895740 10166560 14169643 14233184 17791480 20333120 28339286 28466368 35582960 40666240 56678572 56932736 70848215 71165920 99187501 113357144 141696430 142331840 198375002 226714288 283392860 284663680 396750004 453428576 495937505 566785720 793500008 906857152 991875010 1133571440 1587000016 1813714304 1983750020 2267142880 3174000032 3967500040 4534285760 6348000064 7935000080 9068571520 12696000128 15870000160 31740000320 63480000640