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6804725760 = 2133457293
BaseRepresentation
bin1100101011001011…
…11110000000000000
3122120020021212220000
412111211332000000
5102414002211020
63043120520000
7330425133420
oct62545760000
918506255800
106804725760
1129820aa1a8
12139aa80000
13845a14961
14487a48480
1529c5e5090
hex19597e000

6804725760 has 560 divisors, whose sum is σ = 27974824416. Its totient is φ = 1550057472.

The previous prime is 6804725749. The next prime is 6804725771. The reversal of 6804725760 is 675274086.

6804725760 is a `hidden beast` number, since 6 + 8 + 0 + 4 + 72 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6804725749) and next prime (6804725771).

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-3 number, since 3×68047257603 (a number of 30 digits) contains 333 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23224174 + ... + 23224466.

Almost surely, 26804725760 is an apocalyptic number.

6804725760 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 6804725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13987412208).

6804725760 is an abundant number, since it is smaller than the sum of its proper divisors (21170098656).

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

6804725760 is an equidigital number, since it uses as much as digits as its factorization.

6804725760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 6804725760 is about 82490.7616645646. The cubic root of 6804725760 is about 1894.9752514039.

The spelling of 6804725760 in words is "six billion, eight hundred four million, seven hundred twenty-five thousand, seven hundred sixty".