6577789681 has 8 divisors (see below), whose sum is σ = 6612657480. Its totient is φ = 6542979072.

The previous prime is 6577789577. The next prime is 6577789693. The reversal of 6577789681 is 1869877756.

It can be written as a sum of positive squares in 4 ways, for example, as 1632887281 + 4944902400 = 40409^2 + 70320^2 .

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 6577789681 - 2¹³ = 6577781489 is a prime.

It is a super-4 number, since 4×6577789681⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6577789181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 227025 + ... + 254353.

It is an arithmetic number, because the mean of its divisors is an integer number (826582185).

Almost surely, 2^6577789681 is an apocalyptic number.

It is an amenable number.

6577789681 is a deficient number, since it is larger than the sum of its proper divisors (34867799).

6577789681 is a wasteful number, since it uses less digits than its factorization.

6577789681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28595.

The product of its digits is 35562240, while the sum is 64.

The square root of 6577789681 is about 81103.5737868560. The cubic root of 6577789681 is about 1873.6709686778.

The spelling of 6577789681 in words is "six billion, five hundred seventy-seven million, seven hundred eighty-nine thousand, six hundred eighty-one".