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668599680 = 2735749747
BaseRepresentation
bin100111110110100…
…000010110000000
31201121002101100010
4213312200112000
52332130142210
6150202224520
722366001130
oct4766402600
91647071303
10668599680
11313452921
12167ab5140
13a8696c18
1464b22ac0
153da6d920
hex27da0580

668599680 has 128 divisors (see below), whose sum is σ = 2435662080. Its totient is φ = 152819712.

The previous prime is 668599667. The next prime is 668599703. The reversal of 668599680 is 86995866.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6685996802 = 894051064192204800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 668599680.

It is a congruent number.

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, 11434 + ... + 38313.

It is an arithmetic number, because the mean of its divisors is an integer number (19028610).

Almost surely, 2668599680 is an apocalyptic number.

668599680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668599680 is an abundant number, since it is smaller than the sum of its proper divisors (1767062400).

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

668599680 is a wasteful number, since it uses less digits than its factorization.

668599680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49776 (or 49764 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The square root of 668599680 is about 25857.2945220493. The cubic root of 668599680 is about 874.4239713491.

The spelling of 668599680 in words is "six hundred sixty-eight million, five hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 49747 99494 149241 198988 248735 298482 348229 397976 497470 596964 696458 746205 795952 994940 1044687 1193928 1392916 1492410 1591904 1741145 1989880 2089374 2387856 2785832 2984820 3183808 3482290 3979760 4178748 4775712 5223435 5571664 5969640 6367616 6964580 7959520 8357496 9551424 10446870 11143328 11939280 13929160 15919040 16714992 19102848 20893740 22286656 23878560 27858320 31838080 33429984 41787480 44573312 47757120 55716640 66859968 83574960 95514240 111433280 133719936 167149920 222866560 334299840 668599680