7462368225 has 81 divisors (see below), whose sum is σ = 14505912057. Its totient is φ = 3665488320.

The previous prime is 7462368223. The next prime is 7462368257. The reversal of 7462368225 is 5228632647.

The square root of 7462368225 is 86385.

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

7462368225 is a `hidden beast` number, since 7 + 4 + 62 + 368 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1923436449 + 5538931776 = 43857^2 + 74424^2 .

It is not a de Polignac number, because 7462368225 - 2¹ = 7462368223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7462368223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16844854 + ... + 16845296.

Almost surely, 2^7462368225 is an apocalyptic number.

7462368225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7462368225 is the 86385-th square number.

7462368225 is the 43193-rd centered octagonal number.

It is an amenable number.

7462368225 is a deficient number, since it is larger than the sum of its proper divisors (7043543832).

7462368225 is a wasteful number, since it uses less digits than its factorization.

7462368225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 464 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The cubic root of 7462368225 is about 1954.1544759346.

The spelling of 7462368225 in words is "seven billion, four hundred sixty-two million, three hundred sixty-eight thousand, two hundred twenty-five".