6097027654656 has 495 divisors, whose sum is σ = 18917870362261. Its totient is φ = 1891300933632.

The previous prime is 6097027654643. The next prime is 6097027654687. The reversal of 6097027654656 is 6564567207906.

The square root of 6097027654656 is 2469216.

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

6097027654656 is a `hidden beast` number, since 6 + 0 + 97 + 0 + 27 + 65 + 465 + 6 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 1538631853056 + 4558395801600 = 1240416^2 + 2135040^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6097027654593 and 6097027654602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 68505928660 + ... + 68505928748.

Almost surely, 2^{6097027654656} is an apocalyptic number.

6097027654656 is the 2469216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6097027654656

6097027654656 is an abundant number, since it is smaller than the sum of its proper divisors (12820842707605).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6097027654656 is an frugal number, since it uses more digits than its factorization.

6097027654656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 6097027654656 in words is "six trillion, ninety-seven billion, twenty-seven million, six hundred fifty-four thousand, six hundred fifty-six".