79384089227625 has 640 divisors, whose sum is σ = 185503423872000. Its totient is φ = 33498340948800.

The previous prime is 79384089227591. The next prime is 79384089227657. The reversal of 79384089227625 is 52672298048397.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

79384089227625 is a `hidden beast` number, since 7 + 93 + 8 + 408 + 92 + 27 + 6 + 25 = 666.

It is not a de Polignac number, because 79384089227625 - 2²⁰ = 79384088179049 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 79384089227625 = 10465³ + 42770³ = 28665³ + 38220³.

It is an unprimeable number.

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 639 ways as a sum of consecutive naturals, for example, 6106468402119 + ... + 6106468402131.

It is an arithmetic number, because the mean of its divisors is an integer number (289849099800).

Almost surely, 2^{79384089227625} is an apocalyptic number.

79384089227625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

79384089227625 is an abundant number, since it is smaller than the sum of its proper divisors (106119334644375).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

79384089227625 is an frugal number, since it uses more digits than its factorization.

79384089227625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 79384089227625 in words is "seventy-nine trillion, three hundred eighty-four billion, eighty-nine million, two hundred twenty-seven thousand, six hundred twenty-five".