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6377779968 = 28377915017
BaseRepresentation
bin1011111000010010…
…10011001100000000
3121110110220210100220
411330021103030000
5101030202424333
62532505543040
7314022143460
oct57411231400
917413823326
106377779968
1127830aa53a
12129baa4a80
137a842a601
1444706bba0
15274dac8b3
hex17c253300

6377779968 has 144 divisors (see below), whose sum is σ = 19645946880. Its totient is φ = 1799036928.

The previous prime is 6377779927. The next prime is 6377779979. The reversal of 6377779968 is 8699777736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417196 + ... + 432212.

Almost surely, 26377779968 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 6377779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9822973440).

6377779968 is an abundant number, since it is smaller than the sum of its proper divisors (13268166912).

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

6377779968 is a wasteful number, since it uses less digits than its factorization.

6377779968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15122 (or 15108 counting only the distinct ones).

The product of its digits is 168031584, while the sum is 69.

The square root of 6377779968 is about 79861.0040507881. The cubic root of 6377779968 is about 1854.4843700687.

The spelling of 6377779968 in words is "six billion, three hundred seventy-seven million, seven hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 256 316 336 384 448 474 553 632 672 768 896 948 1106 1264 1344 1659 1792 1896 2212 2528 2688 3318 3792 4424 5056 5376 6636 7584 8848 10112 13272 15017 15168 17696 20224 26544 30034 30336 35392 45051 53088 60068 60672 70784 90102 105119 106176 120136 141568 180204 210238 212352 240272 315357 360408 420476 424704 480544 630714 720816 840952 961088 1186343 1261428 1441632 1681904 1922176 2372686 2522856 2883264 3363808 3559029 3844352 4745372 5045712 5766528 6727616 7118058 8304401 9490744 10091424 11533056 13455232 14236116 16608802 18981488 20182848 24913203 26910464 28472232 33217604 37962976 40365696 49826406 56944464 66435208 75925952 80731392 99652812 113888928 132870416 151851904 199305624 227777856 265740832 303703808 398611248 455555712 531481664 797222496 911111424 1062963328 1594444992 2125926656 3188889984 6377779968