7656372010225 has 27 divisors (see below), whose sum is σ = 9925038987969. Its totient is φ = 5858545519200.

The previous prime is 7656372010223. The next prime is 7656372010241. The reversal of 7656372010225 is 5220102736567.

The square root of 7656372010225 is 2767015.

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 2202615142641 + 5453756867584 = 1484121^2 + 2335328^2 .

It is not a de Polignac number, because 7656372010225 - 2¹ = 7656372010223 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7656372010223) 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, 318194695 + ... + 318218755.

Almost surely, 2^{7656372010225} is an apocalyptic number.

7656372010225 is the 2767015-th square number.

7656372010225 is the 1383508-th centered octagonal number.

It is an amenable number.

7656372010225 is a deficient number, since it is larger than the sum of its proper divisors (2268666977744).

7656372010225 is an frugal number, since it uses more digits than its factorization.

7656372010225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48178 (or 24089 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 7656372010225 in words is "seven trillion, six hundred fifty-six billion, three hundred seventy-two million, ten thousand, two hundred twenty-five".