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6630792480 = 2532513354209
BaseRepresentation
bin1100010110011100…
…11101110100100000
3122010010000011021200
412023032131310200
5102034440324410
63013544521200
7323213543334
oct61316356440
918103004250
106630792480
1128a2a00594
121350780200
13818986260
1446c8cd7c4
1528c1d93c0
hex18b39dd20

6630792480 has 144 divisors (see below), whose sum is σ = 24368231160. Its totient is φ = 1632190464.

The previous prime is 6630792457. The next prime is 6630792491. The reversal of 6630792480 is 842970366.

6630792480 is a `hidden beast` number, since 6 + 630 + 7 + 9 + 2 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4234885776 + 2395906704 = 65076^2 + 48948^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158385 + ... + 195824.

Almost surely, 26630792480 is an apocalyptic number.

6630792480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6630792480 is an abundant number, since it is smaller than the sum of its proper divisors (17737438680).

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

6630792480 is a wasteful number, since it uses less digits than its factorization.

6630792480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354243 (or 354232 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6630792480 is about 81429.6781278177. The cubic root of 6630792480 is about 1878.6900940124.

The spelling of 6630792480 in words is "six billion, six hundred thirty million, seven hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 354209 708418 1062627 1416836 1771045 2125254 2833672 3187881 3542090 4250508 4604717 5313135 5667344 6375762 7084180 8501016 9209434 10626270 11334688 12751524 13814151 14168360 15939405 17002032 18418868 21252540 23023585 25503048 27628302 28336720 31878810 34004064 36837736 41442453 42505080 46047170 51006096 55256604 56673440 63757620 69070755 73675472 82884906 85010160 92094340 102012192 110513208 127515240 138141510 147350944 165769812 170020320 184188680 207212265 221026416 255030480 276283020 331539624 368377360 414424530 442052832 510060960 552566040 663079248 736754720 828849060 1105132080 1326158496 1657698120 2210264160 3315396240 6630792480