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6764666340 = 22353717091783
BaseRepresentation
bin1100100110011010…
…01001110111100100
3122110102220122200210
412103031021313210
5102323223310330
63035130135420
7326430500205
oct62315116744
918412818623
106764666340
112961528a43
121389581570
1383a62a063
144825bb5ac
15298d308b0
hex193349de4

6764666340 has 96 divisors (see below), whose sum is σ = 19475285760. Its totient is φ = 1753145856.

The previous prime is 6764666297. The next prime is 6764666347. The reversal of 6764666340 is 436664676.

It is a self number, because there is not a number n which added to its sum of digits gives 6764666340.

It is not an unprimeable number, because it can be changed into a prime (6764666347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3793089 + ... + 3794871.

It is an arithmetic number, because the mean of its divisors is an integer number (202867560).

Almost surely, 26764666340 is an apocalyptic number.

6764666340 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 6764666340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9737642880).

6764666340 is an abundant number, since it is smaller than the sum of its proper divisors (12710619420).

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

6764666340 is a wasteful number, since it uses less digits than its factorization.

6764666340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3541 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 48.

The square root of 6764666340 is about 82247.5916972649. The cubic root of 6764666340 is about 1891.2493573139.

The spelling of 6764666340 in words is "six billion, seven hundred sixty-four million, six hundred sixty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 1709 1783 2220 3418 3566 5127 5349 6836 7132 8545 8915 10254 10698 17090 17830 20508 21396 25635 26745 34180 35660 51270 53490 63233 65971 102540 106980 126466 131942 189699 197913 252932 263884 316165 329855 379398 395826 632330 659710 758796 791652 948495 989565 1264660 1319420 1896990 1979130 3047147 3793980 3958260 6094294 9141441 12188588 15235735 18282882 30471470 36565764 45707205 60942940 91414410 112744439 182828820 225488878 338233317 450977756 563722195 676466634 1127444390 1352933268 1691166585 2254888780 3382333170 6764666340