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64533978768 = 2437367577907
BaseRepresentation
bin111100000110100001…
…100101111010010000
320011120111001210100210
4330012201211322100
52024131144310033
645351351044120
74443132524460
oct740641457220
9204514053323
1064533978768
1125406826456
1210610370640
136115b9c96c
1431a2ac5ba0
151a2a803d63
hexf06865e90

64533978768 has 160 divisors (see below), whose sum is σ = 191590150144. Its totient is φ = 18335932416.

The previous prime is 64533978731. The next prime is 64533978791. The reversal of 64533978768 is 86787933546.

It is a junction number, because it is equal to n+sod(n) for n = 64533978699 and 64533978708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71150571 + ... + 71151477.

Almost surely, 264533978768 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 64533978768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95795075072).

64533978768 is an abundant number, since it is smaller than the sum of its proper divisors (127056171376).

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

64533978768 is a wasteful number, since it uses less digits than its factorization.

64533978768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869 (or 1863 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 66.

The spelling of 64533978768 in words is "sixty-four billion, five hundred thirty-three million, nine hundred seventy-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 367 577 734 907 1101 1154 1468 1731 1814 2202 2308 2569 2721 2936 3462 3628 4039 4404 4616 5138 5442 5872 6349 6924 7256 7707 8078 8808 9232 10276 10884 12117 12698 13848 14512 15414 16156 17616 19047 20552 21768 24234 25396 27696 30828 32312 38094 41104 43536 48468 50792 61656 64624 76188 96936 101584 123312 152376 193872 211759 304752 332869 423518 523339 635277 665738 847036 998607 1046678 1270554 1331476 1482313 1570017 1694072 1997214 2093356 2330083 2541108 2662952 2964626 3140034 3388144 3663373 3994428 4186712 4446939 4660166 5082216 5325904 5929252 6280068 6990249 7326746 7988856 8373424 8893878 9320332 10164432 10990119 11858504 12560136 13980498 14653492 15977712 17787756 18640664 21980238 23717008 25120272 27960996 29306984 35575512 37281328 43960476 55921992 58613968 71151024 87920952 111843984 175841904 192065413 384130826 576196239 768261652 1152392478 1344457891 1536523304 2304784956 2688915782 3073046608 4033373673 4609569912 5377831564 8066747346 9219139824 10755663128 16133494692 21511326256 32266989384 64533978768