8784082638225 has 72 divisors (see below), whose sum is σ = 16931849151672. Its totient is φ = 4336981862400.

The previous prime is 8784082638217. The next prime is 8784082638263. The reversal of 8784082638225 is 5228362804878.

8784082638225 is a `hidden beast` number, since 8 + 78 + 408 + 2 + 63 + 82 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3787959127824 + 4996123510401 = 1946268^2 + 2235201^2 .

It is not a de Polignac number, because 8784082638225 - 2³ = 8784082638217 is a prime.

It is a super-3 number, since 3×8784082638225³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18590382 + ... + 19057031.

It is an arithmetic number, because the mean of its divisors is an integer number (235164571551).

Almost surely, 2^{8784082638225} is an apocalyptic number.

8784082638225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8784082638225 is a deficient number, since it is larger than the sum of its proper divisors (8147766513447).

8784082638225 is a wasteful number, since it uses less digits than its factorization.

8784082638225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37647507 (or 37647499 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 8784082638225 in words is "eight trillion, seven hundred eighty-four billion, eighty-two million, six hundred thirty-eight thousand, two hundred twenty-five".