6681427600 has 135 divisors (see below), whose sum is σ = 16566804891. Its totient is φ = 2589523200.

The previous prime is 6681427583. The next prime is 6681427603. The reversal of 6681427600 is 67241866.

The square root of 6681427600 is 81740.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3077586576 + 3603841024 = 55476^2 + 60032^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6681427603) 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, 99722767 + ... + 99722833.

Almost surely, 2^6681427600 is an apocalyptic number.

6681427600 is the 81740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6681427600

6681427600 is an abundant number, since it is smaller than the sum of its proper divisors (9885377291).

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

6681427600 is an equidigital number, since it uses as much as digits as its factorization.

6681427600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The cubic root of 6681427600 is about 1883.4600908410.

It can be divided in two parts, 6681 and 427600, that added together give a square (434281 = 659²).

The spelling of 6681427600 in words is "six billion, six hundred eighty-one million, four hundred twenty-seven thousand, six hundred".