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68788680576 = 27372113171151
BaseRepresentation
bin100000000010000011…
…1111111011110000000
320120120000001001000020
41000010013333132000
52111334400234301
651333500053440
74653435065100
oct1000407773600
9216500031006
1068788680576
112719a464940
12113b9234280
1366434bbbb5
143487bbb200
151bc90db436
hex10041ff780

68788680576 has 768 divisors, whose sum is σ = 244333117440. Its totient is φ = 16934400000.

The previous prime is 68788680559. The next prime is 68788680593. The reversal of 68788680576 is 67508688786.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (68788680559) and next prime (68788680593).

It is a self number, because there is not a number n which added to its sum of digits gives 68788680576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 455554101 + ... + 455554251.

It is an arithmetic number, because the mean of its divisors is an integer number (318142080).

Almost surely, 268788680576 is an apocalyptic number.

68788680576 is a gapful number since it is divisible by the number (66) 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 68788680576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122166558720).

68788680576 is an abundant number, since it is smaller than the sum of its proper divisors (175544436864).

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

68788680576 is a wasteful number, since it uses less digits than its factorization.

68788680576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 69.

The spelling of 68788680576 in words is "sixty-eight billion, seven hundred eighty-eight million, six hundred eighty thousand, five hundred seventy-six".