26723421729 has 27 divisors (see below), whose sum is σ = 39998735283. Its totient is φ = 17192128464.

The previous prime is 26723421679. The next prime is 26723421737. The reversal of 26723421729 is 92712432762.

The square root of 26723421729 is 163473.

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., 14013114129 + 12710307600 = 118377^2 + 112740^2 .

It is not a de Polignac number, because 26723421729 - 2¹³ = 26723413537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26723421749) 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, 14221212 + ... + 14223090.

Almost surely, 2^26723421729 is an apocalyptic number.

26723421729 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

26723421729 is the 163473-rd square number.

26723421729 is the 81737-th centered octagonal number.

It is an amenable number.

26723421729 is a deficient number, since it is larger than the sum of its proper divisors (13275313554).

26723421729 is an frugal number, since it uses more digits than its factorization.

26723421729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 1911 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 26723421729 in words is "twenty-six billion, seven hundred twenty-three million, four hundred twenty-one thousand, seven hundred twenty-nine".