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6768368384 = 28311675107
BaseRepresentation
bin1100100110110110…
…10001101100000000
3122110200212201221112
412103123101230000
5102330200242014
63035341342452
7326504116301
oct62333215400
918420781845
106768368384
112963627388
12138a867a28
1383b32510b
14482ca27a8
1529931273e
hex1936d1b00

6768368384 has 72 divisors (see below), whose sum is σ = 14032370688. Its totient is φ = 3254768640.

The previous prime is 6768368317. The next prime is 6768368393. The reversal of 6768368384 is 4838638676.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1322759 + ... + 1327865.

Almost surely, 26768368384 is an apocalyptic number.

6768368384 is a gapful number since it is divisible by the number (64) 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 6768368384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7016185344).

6768368384 is an abundant number, since it is smaller than the sum of its proper divisors (7264002304).

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

6768368384 is a wasteful number, since it uses less digits than its factorization.

6768368384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5307 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 59.

The square root of 6768368384 is about 82270.0941047231. The cubic root of 6768368384 is about 1891.5942972885.

The spelling of 6768368384 in words is "six billion, seven hundred sixty-eight million, three hundred sixty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 167 248 256 334 496 668 992 1336 1984 2672 3968 5107 5177 5344 7936 10214 10354 10688 20428 20708 21376 40856 41416 42752 81712 82832 158317 163424 165664 316634 326848 331328 633268 653696 662656 852869 1266536 1307392 1325312 1705738 2533072 3411476 5066144 6822952 10132288 13645904 20264576 26438939 27291808 40529152 52877878 54583616 105755756 109167232 211511512 218334464 423023024 846046048 1692092096 3384184192 6768368384