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6740067340656 = 24331310931098037
BaseRepresentation
bin110001000010100101101…
…0100011101000101110000
3212212100021212210202011000
41202011023110131011300
51340412124214400111
622200202202322000
71263645103055016
oct142051324350560
925770255722130
106740067340656
1121694a0334121
1290a32aab9300
1339b77c7c9520
141943145d08b6
15ba4d08c9c56
hex6214b51d170

6740067340656 has 160 divisors (see below), whose sum is σ = 20853762009920. Its totient is φ = 2071967579136.

The previous prime is 6740067340619. The next prime is 6740067340663. The reversal of 6740067340656 is 6560437600476.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 5589270 + ... + 6687306.

It is an arithmetic number, because the mean of its divisors is an integer number (130336012562).

Almost surely, 26740067340656 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 6740067340656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10426881004960).

6740067340656 is an abundant number, since it is smaller than the sum of its proper divisors (14113694669264).

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

6740067340656 is a wasteful number, since it uses less digits than its factorization.

6740067340656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099160 (or 1099148 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 6740067340656 in words is "six trillion, seven hundred forty billion, sixty-seven million, three hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1093 1404 1872 2186 2808 3279 4372 5616 6558 8744 9837 13116 14209 17488 19674 26232 28418 29511 39348 42627 52464 56836 59022 78696 85254 113672 118044 127881 157392 170508 227344 236088 255762 341016 383643 472176 511524 682032 767286 1023048 1098037 1534572 2046096 2196074 3069144 3294111 4392148 6138288 6588222 8784296 9882333 13176444 14274481 17568592 19764666 26352888 28548962 29646999 39529332 42823443 52705776 57097924 59293998 79058664 85646886 114195848 118587996 128470329 158117328 171293772 228391696 237175992 256940658 342587544 385410987 474351984 513881316 685175088 770821974 1027762632 1200154441 1541643948 2055525264 2400308882 3083287896 3600463323 4800617764 6166575792 7200926646 9601235528 10801389969 14401853292 15602007733 19202471056 21602779938 28803706584 31204015466 32404169907 43205559876 46806023199 57607413168 62408030932 64808339814 86411119752 93612046398 124816061864 129616679628 140418069597 172822239504 187224092796 249632123728 259233359256 280836139194 374448185592 421254208791 518466718512 561672278388 748896371184 842508417582 1123344556776 1685016835164 2246689113552 3370033670328 6740067340656