6735535374681 has 81 divisors (see below), whose sum is σ = 10141860905631. Its totient is φ = 4307518665504.

The previous prime is 6735535374679. The next prime is 6735535374719. The reversal of 6735535374681 is 1864735355376.

The square root of 6735535374681 is 2595291.

It is a perfect power (a square), and thus also a powerful number.

6735535374681 is a `hidden beast` number, since 6 + 7 + 3 + 5 + 53 + 537 + 46 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6027049550025 + 708485824656 = 2455005^2 + 841716^2 .

It is not a de Polignac number, because 6735535374681 - 2¹ = 6735535374679 is a prime.

It is a super-2 number, since 2×6735535374681² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6735535374781) 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 80 ways as a sum of consecutive naturals, for example, 29671961890 + ... + 29671962116.

Almost surely, 2^{6735535374681} is an apocalyptic number.

6735535374681 is the 2595291-st square number.

6735535374681 is the 1297646-th centered octagonal number.

It is an amenable number.

6735535374681 is a deficient number, since it is larger than the sum of its proper divisors (3406325530950).

6735535374681 is an equidigital number, since it uses as much as digits as its factorization.

6735535374681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 370 counting only the distinct ones).

The product of its digits is 190512000, while the sum is 63.

The spelling of 6735535374681 in words is "six trillion, seven hundred thirty-five billion, five hundred thirty-five million, three hundred seventy-four thousand, six hundred eighty-one".