7660002764241 has 45 divisors (see below), whose sum is σ = 11513065281003. Its totient is φ = 5075465786640.

The previous prime is 7660002764201. The next prime is 7660002764251. The reversal of 7660002764241 is 1424672000667.

The square root of 7660002764241 is 2767671.

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

It can be written as a sum of positive squares in only one way, i.e., 84407099841 + 7575595664400 = 290529^2 + 2752380^2 .

It is not a de Polignac number, because 7660002764241 - 2¹¹ = 7660002762193 is a prime.

It is a super-2 number, since 2×7660002764241² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7660002764201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4508535210 + ... + 4508536908.

Almost surely, 2^{7660002764241} is an apocalyptic number.

7660002764241 is the 2767671-st square number.

7660002764241 is the 1383836-th centered octagonal number.

It is an amenable number.

7660002764241 is a deficient number, since it is larger than the sum of its proper divisors (3853062516762).

7660002764241 is an frugal number, since it uses more digits than its factorization.

7660002764241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 7660002764241 in words is "seven trillion, six hundred sixty billion, two million, seven hundred sixty-four thousand, two hundred forty-one".