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67632716340 = 22335717892253
BaseRepresentation
bin111110111111001110…
…010101101000110100
320110120102212222012000
4332333032111220310
52102002433410330
651023043455300
74613000414010
oct767716255064
9213512788160
1067632716340
11267569a58a2
1211136087530
1364bab751a7
1433b8471540
151b5c89d560
hexfbf395a34

67632716340 has 96 divisors (see below), whose sum is σ = 240471893760. Its totient is φ = 15458905728.

The previous prime is 67632716321. The next prime is 67632716341. The reversal of 67632716340 is 4361723676.

67632716340 is a `hidden beast` number, since 6 + 7 + 6 + 3 + 2 + 7 + 1 + 634 + 0 = 666.

It is a super-3 number, since 3×676327163403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67632716341) 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, 8942347 + ... + 8949906.

It is an arithmetic number, because the mean of its divisors is an integer number (2504915560).

Almost surely, 267632716340 is an apocalyptic number.

67632716340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67632716340 is an abundant number, since it is smaller than the sum of its proper divisors (172839177420).

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

67632716340 is a wasteful number, since it uses less digits than its factorization.

67632716340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17892278 (or 17892270 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 67632716340 in words is "sixty-seven billion, six hundred thirty-two million, seven hundred sixteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 17892253 35784506 53676759 71569012 89461265 107353518 125245771 161030277 178922530 214707036 250491542 268383795 322060554 357845060 375737313 483090831 500983084 536767590 626228855 644121108 751474626 805151385 966181662 1073535180 1127211939 1252457710 1502949252 1610302770 1878686565 1932363324 2254423878 2415454155 2504915420 3220605540 3381635817 3757373130 4508847756 4830908310 5636059695 6763271634 7514746260 9661816620 11272119390 13526543268 16908179085 22544238780 33816358170 67632716340