676642404547201 has 9 divisors (see below), whose sum is σ = 678833215448259. Its totient is φ = 674458641668400.

The previous prime is 676642404547181. The next prime is 676642404547217. The reversal of 676642404547201 is 102745404246676.

The square root of 676642404547201 is 26012351.

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

It can be written as a sum of positive squares in only one way, i.e., 16179585601 + 676626224961600 = 127199^2 + 26012040^2 .

It is not a de Polignac number, because 676642404547201 - 2⁵ = 676642404547169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (676642404547301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8089799341 + ... + 8089882981.

Almost surely, 2^{676642404547201} is an apocalyptic number.

676642404547201 is the 26012351-st square number.

676642404547201 is the 13006176-th centered octagonal number.

It is an amenable number.

676642404547201 is a deficient number, since it is larger than the sum of its proper divisors (2190810901058).

676642404547201 is an frugal number, since it uses more digits than its factorization.

676642404547201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167904 (or 83952 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 58.

The spelling of 676642404547201 in words is "six hundred seventy-six trillion, six hundred forty-two billion, four hundred four million, five hundred forty-seven thousand, two hundred one".