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6755696640 = 214325721117
BaseRepresentation
bin1100100101010101…
…11100000000000000
3122102211000221120200
412102222330000000
5102313424243030
63034210005200
7326261321400
oct62252740000
918384027520
106755696640
112957461970
121386576800
13838809444
14481324800
1529815cd60
hex192abc000

6755696640 has 1080 divisors, whose sum is σ = 31467329712. Its totient is φ = 1321205760.

The previous prime is 6755696627. The next prime is 6755696641. The reversal of 6755696640 is 466965576.

6755696640 is a `hidden beast` number, since 6 + 75 + 569 + 6 + 6 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6755696641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 397393912 + ... + 397393928.

Almost surely, 26755696640 is an apocalyptic number.

6755696640 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 6755696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15733664856).

6755696640 is an abundant number, since it is smaller than the sum of its proper divisors (24711633072).

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

6755696640 is a wasteful number, since it uses less digits than its factorization.

6755696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The square root of 6755696640 is about 82193.0449612374. The cubic root of 6755696640 is about 1890.4130784353.

The spelling of 6755696640 in words is "six billion, seven hundred fifty-five million, six hundred ninety-six thousand, six hundred forty".