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640400630760 = 233351153905777
BaseRepresentation
bin10010101000110101101…
…10100010001111101000
32021012222121202202002000
421110122312202033220
540443020030141020
61210110200011000
764160503355352
oct11243266421750
92235877682060
10640400630760
11227657508440
12a4144a60a60
134850aa12497
1422dd1b3c0d2
15119d1ae0090
hex951ada23e8

640400630760 has 128 divisors (see below), whose sum is σ = 2328729609600. Its totient is φ = 155248634880.

The previous prime is 640400630699. The next prime is 640400630767. The reversal of 640400630760 is 67036004046.

640400630760 is a `hidden beast` number, since 640 + 4 + 0 + 0 + 6 + 3 + 0 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×6404006307602 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (640400630767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26941009 + ... + 26964768.

It is an arithmetic number, because the mean of its divisors is an integer number (18193200075).

Almost surely, 2640400630760 is an apocalyptic number.

640400630760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

640400630760 is an abundant number, since it is smaller than the sum of its proper divisors (1688328978840).

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

640400630760 is a wasteful number, since it uses less digits than its factorization.

640400630760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53905808 (or 53905798 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 640400630760 in words is "six hundred forty billion, four hundred million, six hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 53905777 107811554 161717331 215623108 269528885 323434662 431246216 485151993 539057770 592963547 646869324 808586655 970303986 1078115540 1185927094 1293738648 1455455979 1617173310 1778890641 1940607972 2156231080 2371854188 2425759965 2910911958 2964817735 3234346620 3557781282 3881215944 4743708376 4851519930 5336671923 5821823916 5929635470 6468693240 7115562564 7277279895 8894453205 9703039860 10673343846 11643647832 11859270940 14231125128 14554559790 16010015769 17788906410 19406079720 21346687692 23718541880 26683359615 29109119580 32020031538 35577812820 42693375384 53366719230 58218239160 64040063076 71155625640 80050078845 106733438460 128080126152 160100157690 213466876920 320200315380 640400630760