8742636672025 has 27 divisors (see below), whose sum is σ = 10997028645213. Its totient is φ = 6894772852800.

The previous prime is 8742636672019. The next prime is 8742636672031. The reversal of 8742636672025 is 5202766362478.

The square root of 8742636672025 is 2956795.

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 (8742636672019) and next prime (8742636672031).

It can be written as a sum of positive squares in 4 ways, for example, as 2537735022729 + 6204901649296 = 1593027^2 + 2490964^2 .

It is not a de Polignac number, because 8742636672025 - 2³⁹ = 8192880858137 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1049658061 + ... + 1049666389.

Almost surely, 2^{8742636672025} is an apocalyptic number.

8742636672025 is the 2956795-th square number.

8742636672025 is the 1478398-th centered octagonal number.

It is an amenable number.

8742636672025 is a deficient number, since it is larger than the sum of its proper divisors (2254391973188).

8742636672025 is an frugal number, since it uses more digits than its factorization.

8742636672025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16810 (or 8405 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 58.

The spelling of 8742636672025 in words is "eight trillion, seven hundred forty-two billion, six hundred thirty-six million, six hundred seventy-two thousand, twenty-five".