27678205176064 has 27 divisors (see below), whose sum is σ = 55248460387113. Its totient is φ = 13839060499968.

The previous prime is 27678205176059. The next prime is 27678205176071. The reversal of 27678205176064 is 46067150287672.

The square root of 27678205176064 is 5261008.

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., 27515480070400 + 162725105664 = 5245520^2 + 403392^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27678205175993 and 27678205176011.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 84011722 + ... + 84340534.

Almost surely, 2^{27678205176064} is an apocalyptic number.

27678205176064 is the 5261008-th square number.

It is an amenable number.

27678205176064 is a deficient number, since it is larger than the sum of its proper divisors (27570255211049).

27678205176064 is an frugal number, since it uses more digits than its factorization.

27678205176064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657642 (or 328815 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 61.

The spelling of 27678205176064 in words is "twenty-seven trillion, six hundred seventy-eight billion, two hundred five million, one hundred seventy-six thousand, sixty-four".