744066683649 has 27 divisors (see below), whose sum is σ = 1079761218627. Its totient is φ = 493748233200.

The previous prime is 744066683629. The next prime is 744066683693. The reversal of 744066683649 is 946386660447.

The square root of 744066683649 is 862593.

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., 489990200049 + 254076483600 = 699993^2 + 504060^2 .

It is not a de Polignac number, because 744066683649 - 2²⁷ = 743932465921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (744066683629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 701287579 + ... + 701288639.

Almost surely, 2^744066683649 is an apocalyptic number.

744066683649 is the 862593-rd square number.

744066683649 is the 431297-th centered octagonal number.

It is an amenable number.

744066683649 is a deficient number, since it is larger than the sum of its proper divisors (335694534978).

744066683649 is an frugal number, since it uses more digits than its factorization.

744066683649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 744066683649 in words is "seven hundred forty-four billion, sixty-six million, six hundred eighty-three thousand, six hundred forty-nine".