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664979840 = 2757151983
BaseRepresentation
bin100111101000101…
…100100110000000
31201100021110211222
4213220230212000
52330213323330
6145552454212
722323143510
oct4750544600
91640243758
10664979840
11311400218
1216684a368
13a79ca3c5
146445d840
153d5a60e5
hex27a2c980

664979840 has 128 divisors (see below), whose sum is σ = 1830712320. Its totient is φ = 226252800.

The previous prime is 664979807. The next prime is 664979851. The reversal of 664979840 is 48979466.

It is a happy number.

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

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

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, 675989 + ... + 676971.

It is an arithmetic number, because the mean of its divisors is an integer number (14302440).

Almost surely, 2664979840 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 664979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915356160).

664979840 is an abundant number, since it is smaller than the sum of its proper divisors (1165732480).

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

664979840 is a wasteful number, since it uses less digits than its factorization.

664979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The square root of 664979840 is about 25787.2030278586. The cubic root of 664979840 is about 872.8430530316.

The spelling of 664979840 in words is "six hundred sixty-four million, nine hundred seventy-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 151 160 224 280 302 320 448 560 604 640 755 896 983 1057 1120 1208 1510 1966 2114 2240 2416 3020 3932 4228 4480 4832 4915 5285 6040 6881 7864 8456 9664 9830 10570 12080 13762 15728 16912 19328 19660 21140 24160 27524 31456 33824 34405 39320 42280 48320 55048 62912 67648 68810 78640 84560 96640 110096 125824 135296 137620 148433 157280 169120 220192 275240 296866 314560 338240 440384 550480 593732 629120 676480 742165 880768 1039031 1100960 1187464 1484330 2078062 2201920 2374928 2968660 4156124 4403840 4749856 5195155 5937320 8312248 9499712 10390310 11874640 16624496 18999424 20780620 23749280 33248992 41561240 47498560 66497984 83122480 94997120 132995968 166244960 332489920 664979840