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6768067064 = 23111719317681
BaseRepresentation
bin1100100110110100…
…01000000111111000
3122110200022102121112
412103122020013320
5102330111121224
63035331055452
7326501422643
oct62332100770
918420272545
106768067064
112963440a60
12138a741588
1383b24ac15
14482c24a5a
152992a330e
hex1936881f8

6768067064 has 128 divisors (see below), whose sum is σ = 15929395200. Its totient is φ = 2654208000.

The previous prime is 6768067063. The next prime is 6768067079. The reversal of 6768067064 is 4607608676.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6768067063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 877304 + ... + 884984.

It is an arithmetic number, because the mean of its divisors is an integer number (124448400).

Almost surely, 26768067064 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 6768067064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7964697600).

6768067064 is an abundant number, since it is smaller than the sum of its proper divisors (9161328136).

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

6768067064 is a wasteful number, since it uses less digits than its factorization.

6768067064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7765 (or 7761 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 50.

The square root of 6768067064 is about 82268.2627992107. The cubic root of 6768067064 is about 1891.5662263356.

The spelling of 6768067064 in words is "six billion, seven hundred sixty-eight million, sixty-seven thousand, sixty-four".

Divisors: 1 2 4 8 11 17 19 22 31 34 38 44 62 68 76 88 124 136 152 187 209 248 323 341 374 418 527 589 646 682 748 836 1054 1178 1292 1364 1496 1672 2108 2356 2584 2728 3553 4216 4712 5797 6479 7106 7681 10013 11594 12958 14212 15362 20026 23188 25916 28424 30724 40052 46376 51832 61448 80104 84491 110143 130577 145939 168982 220286 238111 261154 291878 337964 440572 476222 522308 583756 675928 881144 952444 1044616 1167512 1436347 1605329 1904888 2480963 2619221 2872694 3210658 4047887 4524109 4961926 5238442 5745388 6421316 8095774 9048218 9923852 10476884 11490776 12842632 16191548 18096436 19847704 20953768 27290593 32383096 36192872 44526757 49765199 54581186 76909853 89053514 99530398 109162372 153819706 178107028 199060796 218324744 307639412 356214056 398121592 615278824 846008383 1692016766 3384033532 6768067064