6735765060 has 96 divisors (see below), whose sum is σ = 21000268800. Its totient is φ = 1792385280.

The previous prime is 6735764989. The next prime is 6735765061. The reversal of 6735765060 is 605675376.

6735765060 is a `hidden beast` number, since 6 + 73 + 5 + 76 + 506 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 6735764997 and 6735765015.

It is not an unprimeable number, because it can be changed into a prime (6735765061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245640 + ... + 271680.

It is an arithmetic number, because the mean of its divisors is an integer number (218752800).

Almost surely, 2^6735765060 is an apocalyptic number.

6735765060 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 6735765060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10500134400).

6735765060 is an abundant number, since it is smaller than the sum of its proper divisors (14264503740).

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

6735765060 is a wasteful number, since it uses less digits than its factorization.

6735765060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26538 (or 26530 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 6735765060 is about 82071.7068178797. The cubic root of 6735765060 is about 1888.5521287046.

The spelling of 6735765060 in words is "six billion, seven hundred thirty-five million, seven hundred sixty-five thousand, sixty".