736800773641 has 9 divisors (see below), whose sum is σ = 763109579271. Its totient is φ = 711369816024.

The previous prime is 736800773633. The next prime is 736800773663. The reversal of 736800773641 is 146377008637.

The square root of 736800773641 is 858371.

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., 386360453241 + 350440320400 = 621579^2 + 591980^2 .

It is not a de Polignac number, because 736800773641 - 2³ = 736800773633 is a prime.

It is a super-2 number, since 2×736800773641² (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 (736800773671) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24877960 + ... + 24907558.

Almost surely, 2^736800773641 is an apocalyptic number.

736800773641 is the 858371-st square number.

736800773641 is the 429186-th centered octagonal number.

It is an amenable number.

736800773641 is a deficient number, since it is larger than the sum of its proper divisors (26308805630).

736800773641 is an frugal number, since it uses more digits than its factorization.

736800773641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59256 (or 29628 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 52.

It can be divided in two parts, 736800 and 773641, that added together give a square (1510441 = 1229²).

The spelling of 736800773641 in words is "seven hundred thirty-six billion, eight hundred million, seven hundred seventy-three thousand, six hundred forty-one".