9540209770729 has 27 divisors (see below), whose sum is σ = 10778841223941. Its totient is φ = 8437402844640.

The previous prime is 9540209770709. The next prime is 9540209770757. The reversal of 9540209770729 is 9270779020459.

The square root of 9540209770729 is 3088723.

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

It can be written as a sum of positive squares in 4 ways, for example, as 440623802025 + 9099585968704 = 663795^2 + 3016552^2 .

It is not a de Polignac number, because 9540209770729 - 2¹⁷ = 9540209639657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9540209770709) 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, 1257106467 + ... + 1257114055.

Almost surely, 2^{9540209770729} is an apocalyptic number.

9540209770729 is the 3088723-rd square number.

9540209770729 is the 1544362-nd centered octagonal number.

It is an amenable number.

9540209770729 is a deficient number, since it is larger than the sum of its proper divisors (1238631453212).

9540209770729 is an frugal number, since it uses more digits than its factorization.

9540209770729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15274 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 61.

The spelling of 9540209770729 in words is "nine trillion, five hundred forty billion, two hundred nine million, seven hundred seventy thousand, seven hundred twenty-nine".