736792641 has 48 divisors (see below), whose sum is σ = 1168549200. Its totient is φ = 444635136.

The previous prime is 736792619. The next prime is 736792643. The reversal of 736792641 is 146297637.

It can be written as a sum of positive squares in 8 ways, for example, as 11029041 + 725763600 = 3321^2 + 26940^2 .

It is not a de Polignac number, because 736792641 - 2⁷ = 736792513 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (736792643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1801245 + ... + 1801653.

It is an arithmetic number, because the mean of its divisors is an integer number (24344775).

Almost surely, 2^736792641 is an apocalyptic number.

It is an amenable number.

736792641 is a deficient number, since it is larger than the sum of its proper divisors (431756559).

736792641 is a wasteful number, since it uses less digits than its factorization.

736792641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 687 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 736792641 is about 27143.9245688607. The cubic root of 736792641 is about 903.1954889982.

The spelling of 736792641 in words is "seven hundred thirty-six million, seven hundred ninety-two thousand, six hundred forty-one".