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6640832880 = 24325111944131
BaseRepresentation
bin1100010111101001…
…10001000101110000
3122010210220021010100
412023310301011300
5102100023123010
63014544032400
7323365101543
oct61364610560
918123807110
106640832880
1128a8639040
121354002700
1381aa90316
1446dd8485a
1528d01e2c0
hex18bd31170

6640832880 has 240 divisors, whose sum is σ = 25610682240. Its totient is φ = 1525132800.

The previous prime is 6640832879. The next prime is 6640832881. The reversal of 6640832880 is 882380466.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6640832879) and next prime (6640832881).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×66408328802 = 88201322680178188800, which contains 22 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 (6640832881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128415 + ... + 172545.

It is an arithmetic number, because the mean of its divisors is an integer number (106711176).

Almost surely, 26640832880 is an apocalyptic number.

6640832880 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 6640832880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12805341120).

6640832880 is an abundant number, since it is smaller than the sum of its proper divisors (18969849360).

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

6640832880 is a wasteful number, since it uses less digits than its factorization.

6640832880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44180 (or 44171 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6640832880 is about 81491.3055485062. The cubic root of 6640832880 is about 1879.6378584183.

The spelling of 6640832880 in words is "six billion, six hundred forty million, eight hundred thirty-two thousand, eight hundred eighty".