627199057681 has 27 divisors (see below), whose sum is σ = 762854882601. Its totient is φ = 514120775784.

The previous prime is 627199057679. The next prime is 627199057691. The reversal of 627199057681 is 186750991726.

The square root of 627199057681 is 791959.

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

It is not a de Polignac number, because 627199057681 - 2¹ = 627199057679 is a prime.

It is a super-2 number, since 2×627199057681² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (627199057691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 127502940 + ... + 127507858.

Almost surely, 2^627199057681 is an apocalyptic number.

627199057681 is the 791959-th square number.

627199057681 is the 395980-th centered octagonal number.

It is an amenable number.

627199057681 is a deficient number, since it is larger than the sum of its proper divisors (135655824920).

627199057681 is an frugal number, since it uses more digits than its factorization.

627199057681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9898 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 61.

It can be divided in two parts, 62719 and 9057681, that added together give a square (9120400 = 3020²).

The spelling of 627199057681 in words is "six hundred twenty-seven billion, one hundred ninety-nine million, fifty-seven thousand, six hundred eighty-one".