27407442721 has 8 divisors (see below), whose sum is σ = 29031405480. Its totient is φ = 25784786688.

The previous prime is 27407442611. The next prime is 27407442773. The reversal of 27407442721 is 12724470472.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8723560000 + 18683882721 = 93400^2 + 136689^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27407442721 - 2⁷ = 27407442593 is a prime.

It is a super-3 number, since 3×27407442721³ (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27407442421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283326 + ... + 367543.

It is an arithmetic number, because the mean of its divisors is an integer number (3628925685).

Almost surely, 2^27407442721 is an apocalyptic number.

It is an amenable number.

27407442721 is a deficient number, since it is larger than the sum of its proper divisors (1623962759).

27407442721 is a wasteful number, since it uses less digits than its factorization.

27407442721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653363.

The product of its (nonzero) digits is 175616, while the sum is 40.

The spelling of 27407442721 in words is "twenty-seven billion, four hundred seven million, four hundred forty-two thousand, seven hundred twenty-one".