7759049247049 has 27 divisors (see below), whose sum is σ = 8172131843757. Its totient is φ = 7366239835416.

The previous prime is 7759049246999. The next prime is 7759049247097. The reversal of 7759049247049 is 9407429409577.

The square root of 7759049247049 is 2785507.

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

It is not a de Polignac number, because 7759049247049 - 2¹¹ = 7759049245001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7759049247349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10442865372 + ... + 10442866114.

Almost surely, 2^{7759049247049} is an apocalyptic number.

7759049247049 is the 2785507-th square number.

7759049247049 is the 1392754-th centered octagonal number.

It is an amenable number.

7759049247049 is a deficient number, since it is larger than the sum of its proper divisors (413082596708).

7759049247049 is an frugal number, since it uses more digits than its factorization.

7759049247049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 67.

The spelling of 7759049247049 in words is "seven trillion, seven hundred fifty-nine billion, forty-nine million, two hundred forty-seven thousand, forty-nine".