678366376900 has 81 divisors (see below), whose sum is σ = 1539269987143. Its totient is φ = 259476395200.

The previous prime is 678366376801. The next prime is 678366376903. The reversal of 678366376900 is 9673663876.

The square root of 678366376900 is 823630.

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 62229293764 + 616137083136 = 249458^2 + 784944^2 .

It is a super-2 number, since 2×678366376900² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (678366376903) 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, 189433110 + ... + 189436690.

Almost surely, 2^678366376900 is an apocalyptic number.

678366376900 is the 823630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678366376900

678366376900 is an abundant number, since it is smaller than the sum of its proper divisors (860903610243).

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

678366376900 is an equidigital number, since it uses as much as digits as its factorization.

678366376900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7222 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 61.

The spelling of 678366376900 in words is "six hundred seventy-eight billion, three hundred sixty-six million, three hundred seventy-six thousand, nine hundred".