6300767677689 has 27 divisors (see below), whose sum is σ = 9276655498383. Its totient is φ = 4120995791952.

The previous prime is 6300767677681. The next prime is 6300767677697. The reversal of 6300767677689 is 9867767670036.

The square root of 6300767677689 is 2510133.

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

It is an interprime number because it is at equal distance from previous prime (6300767677681) and next prime (6300767677697).

It can be written as a sum of positive squares in only one way, i.e., 4542205250025 + 1758562427664 = 2131245^2 + 1326108^2 .

It is not a de Polignac number, because 6300767677689 - 2³ = 6300767677681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6300767677681) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 399103254 + ... + 399119040.

Almost surely, 2^{6300767677689} is an apocalyptic number.

6300767677689 is the 2510133-rd square number.

6300767677689 is the 1255067-th centered octagonal number.

It is an amenable number.

6300767677689 is a deficient number, since it is larger than the sum of its proper divisors (2975887820694).

6300767677689 is an frugal number, since it uses more digits than its factorization.

6300767677689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31686 (or 15843 counting only the distinct ones).

The product of its (nonzero) digits is 672126336, while the sum is 72.

The spelling of 6300767677689 in words is "six trillion, three hundred billion, seven hundred sixty-seven million, six hundred seventy-seven thousand, six hundred eighty-nine".