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6684804480 = 27358833943
BaseRepresentation
bin1100011100111001…
…00000010110000000
3122020212122020211010
412032130200112000
5102142302220410
63023154320520
7324440620614
oct61634402600
918225566733
106684804480
112920441602
121366889140
13826c17813
14475b4d344
15291d07c20
hex18e720580

6684804480 has 128 divisors (see below), whose sum is σ = 21337355520. Its totient is φ = 1780144128.

The previous prime is 6684804361. The next prime is 6684804509. The reversal of 6684804480 is 844084866.

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

It is a super-2 number, since 2×66848044802 = 89373221871656140800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1693389 + ... + 1697331.

It is an arithmetic number, because the mean of its divisors is an integer number (166698090).

Almost surely, 26684804480 is an apocalyptic number.

6684804480 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 6684804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10668677760).

6684804480 is an abundant number, since it is smaller than the sum of its proper divisors (14652551040).

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

6684804480 is a wasteful number, since it uses less digits than its factorization.

6684804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 6684804480 is about 81760.6536177396. The cubic root of 6684804480 is about 1883.7773457692. Note that the first 3 decimals are identical.

The spelling of 6684804480 in words is "six billion, six hundred eighty-four million, eight hundred four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 883 960 1766 1920 2649 3532 3943 4415 5298 7064 7886 8830 10596 11829 13245 14128 15772 17660 19715 21192 23658 26490 28256 31544 35320 39430 42384 47316 52980 56512 59145 63088 70640 78860 84768 94632 105960 113024 118290 126176 141280 157720 169536 189264 211920 236580 252352 282560 315440 339072 378528 423840 473160 504704 565120 630880 757056 847680 946320 1261760 1514112 1695360 1892640 2523520 3481669 3785280 6963338 7570560 10445007 13926676 17408345 20890014 27853352 34816690 41780028 52225035 55706704 69633380 83560056 104450070 111413408 139266760 167120112 208900140 222826816 278533520 334240224 417800280 445653632 557067040 668480448 835600560 1114134080 1336960896 1671201120 2228268160 3342402240 6684804480