7164582768225 has 72 divisors (see below), whose sum is σ = 12889837646400. Its totient is φ = 3804075757440.

The previous prime is 7164582768169. The next prime is 7164582768253. The reversal of 7164582768225 is 5228672854617.

7164582768225 is a `hidden beast` number, since 7 + 16 + 458 + 2 + 76 + 82 + 25 = 666.

7164582768225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7164582768225 - 2¹⁹ = 7164582243937 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91622994 + ... + 91701156.

Almost surely, 2^{7164582768225} is an apocalyptic number.

7164582768225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7164582768225 is a deficient number, since it is larger than the sum of its proper divisors (5725254878175).

7164582768225 is a wasteful number, since it uses less digits than its factorization.

7164582768225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79991 (or 79983 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 7164582768225 in words is "seven trillion, one hundred sixty-four billion, five hundred eighty-two million, seven hundred sixty-eight thousand, two hundred twenty-five".