27764646772 has 24 divisors (see below), whose sum is σ = 51467640840. Its totient is φ = 13060285440.

The previous prime is 27764646769. The next prime is 27764646779.

27764646772 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3342458596 + 24422188176 = 57814^2 + 156276^2 .

It is a super-2 number, since 2×27764646772² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27764646779) 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, 82354 + ... + 249622.

It is an arithmetic number, because the mean of its divisors is an integer number (2144485035).

Almost surely, 2^27764646772 is an apocalyptic number.

It is an amenable number.

27764646772 is a deficient number, since it is larger than the sum of its proper divisors (23702994068).

27764646772 is a wasteful number, since it uses less digits than its factorization.

27764646772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169731 (or 169729 counting only the distinct ones).

The product of its digits is 33191424, while the sum is 58.

The spelling of 27764646772 in words is "twenty-seven billion, seven hundred sixty-four million, six hundred forty-six thousand, seven hundred seventy-two".