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76140805775680 = 2651394729361979
BaseRepresentation
bin10001010011111111101001…
…101011100110000101000000
3100222120222201200001211212201
4101103333221223212011000
534434442332234310210
6425534334151002544
722015664101343602
oct2123775153460500
9328528650054781
1076140805775680
1122296152967928
128658721969454
13336407c851519
1414b333dcb3172
158c08e52b853a
hex453fe9ae6140

76140805775680 has 112 divisors (see below), whose sum is σ = 182653804872000. Its totient is φ = 30230734565376.

The previous prime is 76140805775621. The next prime is 76140805775729. The reversal of 76140805775680 is 8657750804167.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210164931 + ... + 210526909.

It is an arithmetic number, because the mean of its divisors is an integer number (1630837543500).

Almost surely, 276140805775680 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 76140805775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91326902436000).

76140805775680 is an abundant number, since it is smaller than the sum of its proper divisors (106512999096320).

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

76140805775680 is a wasteful number, since it uses less digits than its factorization.

76140805775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366864 (or 366854 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 64.

The spelling of 76140805775680 in words is "seventy-six trillion, one hundred forty billion, eight hundred five million, seven hundred seventy-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 139 160 278 320 556 695 1112 1390 2224 2780 4448 4729 5560 8896 9458 11120 18916 22240 23645 37832 44480 47290 75664 94580 151328 189160 302656 361979 378320 657331 723958 756640 1314662 1447916 1513280 1809895 2629324 2895832 3286655 3619790 5258648 5791664 6573310 7239580 10517296 11583328 13146620 14479160 21034592 23166656 26293240 28958320 42069184 50315081 52586480 57916640 100630162 105172960 115833280 201260324 210345920 251575405 402520648 503150810 805041296 1006301620 1610082592 1711798691 2012603240 3220165184 3423597382 4025206480 6847194764 8050412960 8558993455 13694389528 16100825920 17117986910 27388779056 34235973820 54777558112 68471947640 109555116224 136943895280 237940018049 273887790560 475880036098 547775581120 951760072196 1189700090245 1903520144392 2379400180490 3807040288784 4758800360980 7614080577568 9517600721960 15228161155136 19035201443920 38070402887840 76140805775680