6735290386221 has 6 divisors (see below), whose sum is σ = 9728752780110. Its totient is φ = 4490193590808.

The previous prime is 6735290386157. The next prime is 6735290386247. The reversal of 6735290386221 is 1226830925376.

6735290386221 is a `hidden beast` number, since 6 + 7 + 3 + 5 + 2 + 9 + 0 + 3 + 8 + 622 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5429184263721 + 1306106122500 = 2330061^2 + 1142850^2 .

It is not a de Polignac number, because 6735290386221 - 2⁶ = 6735290386157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6735290386271) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 374182799226 + ... + 374182799243.

It is an arithmetic number, because the mean of its divisors is an integer number (1621458796685).

Almost surely, 2^{6735290386221} is an apocalyptic number.

It is an amenable number.

6735290386221 is a deficient number, since it is larger than the sum of its proper divisors (2993462393889).

6735290386221 is a wasteful number, since it uses less digits than its factorization.

6735290386221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748365598475 (or 748365598472 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 6735290386221 in words is "six trillion, seven hundred thirty-five billion, two hundred ninety million, three hundred eighty-six thousand, two hundred twenty-one".