742004791609 has 27 divisors (see below), whose sum is σ = 789045218703. Its totient is φ = 697731570000.

The previous prime is 742004791579. The next prime is 742004791613. The reversal of 742004791609 is 906197400247.

The square root of 742004791609 is 861397.

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., 663956077225 + 78048714384 = 814835^2 + 279372^2 .

It is a de Polignac number, because none of the positive numbers 2^k-742004791609 is a prime.

It is a super-2 number, since 2×742004791609² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (742004798609) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 988021984 + ... + 988022734.

It is an arithmetic number, because the mean of its divisors is an integer number (29223896989).

Almost surely, 2^742004791609 is an apocalyptic number.

742004791609 is the 861397-th square number.

742004791609 is the 430699-th centered octagonal number.

It is an amenable number.

742004791609 is a deficient number, since it is larger than the sum of its proper divisors (47040427094).

742004791609 is an frugal number, since it uses more digits than its factorization.

742004791609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 49.

Multiplying 742004791609 by its sum of digits (49), we get a square (36358234788841 = 6029779²).

The spelling of 742004791609 in words is "seven hundred forty-two billion, four million, seven hundred ninety-one thousand, six hundred nine".