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6420074640 = 2435723166151
BaseRepresentation
bin1011111101010101…
…01001000010010000
3121120102111120202020
411332222221002100
5101122014342030
62541020251440
7315044506530
oct57652510220
917512446666
106420074640
1127a4a68111
1212b20a0b80
137b4118745
1444c91b4c0
15278964510
hex17eaa9090

6420074640 has 160 divisors (see below), whose sum is σ = 23734480896. Its totient is φ = 1403635200.

The previous prime is 6420074629. The next prime is 6420074641. The reversal of 6420074640 is 464700246.

It is a super-2 number, since 2×64200746402 = 82434716766342259200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6420074641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44436 + ... + 121715.

Almost surely, 26420074640 is an apocalyptic number.

6420074640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6420074640 is an abundant number, since it is smaller than the sum of its proper divisors (17314406256).

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

6420074640 is a wasteful number, since it uses less digits than its factorization.

6420074640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166197 (or 166191 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 6420074640 is about 80125.3682674844. The cubic root of 6420074640 is about 1858.5747203492.

Adding to 6420074640 its reverse (464700246), we get a palindrome (6884774886).

The spelling of 6420074640 in words is "six billion, four hundred twenty million, seventy-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1610 1680 1840 1932 2415 2576 2760 3220 3864 4830 5520 6440 7728 9660 12880 19320 38640 166151 332302 498453 664604 830755 996906 1163057 1329208 1661510 1993812 2326114 2492265 2658416 3323020 3489171 3821473 3987624 4652228 4984530 5815285 6646040 6978342 7642946 7975248 9304456 9969060 11464419 11630570 13292080 13956684 15285892 17445855 18608912 19107365 19938120 22928838 23261140 26750311 27913368 30571784 34891710 38214730 39876240 45857676 46522280 53500622 55826736 57322095 61143568 69783420 76429460 80250933 91715352 93044560 107001244 114644190 133751555 139566840 152858920 160501866 183430704 214002488 229288380 267503110 279133680 305717840 321003732 401254665 428004976 458576760 535006220 642007464 802509330 917153520 1070012440 1284014928 1605018660 2140024880 3210037320 6420074640