7490736560241 has 81 divisors (see below), whose sum is σ = 11982144008289. Its totient is φ = 4506066734400.

The previous prime is 7490736560227. The next prime is 7490736560267. The reversal of 7490736560241 is 1420656370947.

The square root of 7490736560241 is 2736921.

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

7490736560241 is a `hidden beast` number, since 7 + 4 + 9 + 0 + 7 + 36 + 560 + 2 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 40588146225 + 7450148414016 = 201465^2 + 2729496^2 .

It is not a de Polignac number, because 7490736560241 - 2¹⁵ = 7490736527473 is a prime.

It is a super-2 number, since 2×7490736560241² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7490736560221) 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, 17792723211 + ... + 17792723631.

Almost surely, 2^{7490736560241} is an apocalyptic number.

7490736560241 is the 2736921-st square number.

7490736560241 is the 1368461-st centered octagonal number.

It is an amenable number.

7490736560241 is a deficient number, since it is larger than the sum of its proper divisors (4491407448048).

7490736560241 is an equidigital number, since it uses as much as digits as its factorization.

7490736560241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 7490736560241 in words is "seven trillion, four hundred ninety billion, seven hundred thirty-six million, five hundred sixty thousand, two hundred forty-one".