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6680599568280 = 23345112311813037
BaseRepresentation
bin110000100110111001011…
…0000111001111110011000
3212122122210110200220110000
41201031302300321332120
51333423331442141110
622113005225453000
71256441325251241
oct141156260717630
925578713626400
106680599568280
112146254325600
128ba8b3341160
13395c933c9331
141914b26c1cc8
15b8b9ec591c0
hex61372c39f98

6680599568280 has 960 divisors, whose sum is σ = 25626462301440. Its totient is φ = 1558123776000.

The previous prime is 6680599568261. The next prime is 6680599568303. The reversal of 6680599568280 is 828659950866.

6680599568280 is a `hidden beast` number, since 6 + 6 + 8 + 0 + 59 + 9 + 568 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6680599568199 and 6680599568208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2199734922 + ... + 2199737958.

It is an arithmetic number, because the mean of its divisors is an integer number (26694231564).

Almost surely, 26680599568280 is an apocalyptic number.

6680599568280 is a gapful number since it is divisible by the number (60) 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 6680599568280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12813231150720).

6680599568280 is an abundant number, since it is smaller than the sum of its proper divisors (18945862733160).

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

6680599568280 is a wasteful number, since it uses less digits than its factorization.

6680599568280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 6680599568280 in words is "six trillion, six hundred eighty billion, five hundred ninety-nine million, five hundred sixty-eight thousand, two hundred eighty".