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6680632320 = 2103251131283
BaseRepresentation
bin1100011100011001…
…00101110000000000
3122020120210021200200
412032030211300000
5102140220213240
63022525045200
7324360303105
oct61614456000
918216707620
106680632320
112919051a3a
1213653b6800
138260b679b
14475384aac
15291781930
hex18e325c00

6680632320 has 264 divisors, whose sum is σ = 23371270416. Its totient is φ = 1764360192.

The previous prime is 6680632319. The next prime is 6680632327. The reversal of 6680632320 is 232360866.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6680632327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5206399 + ... + 5207681.

Almost surely, 26680632320 is an apocalyptic number.

6680632320 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 6680632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11685635208).

6680632320 is an abundant number, since it is smaller than the sum of its proper divisors (16690638096).

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

6680632320 is a wasteful number, since it uses less digits than its factorization.

6680632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6680632320 is about 81735.1351623034. The cubic root of 6680632320 is about 1883.3853594281.

The spelling of 6680632320 in words is "six billion, six hundred eighty million, six hundred thirty-two thousand, three hundred twenty".