79624069325824 has 297 divisors, whose sum is σ = 173254611868203. Its totient is φ = 36567833051136.

The previous prime is 79624069325813. The next prime is 79624069325837. The reversal of 79624069325824 is 42852396042697.

The square root of 79624069325824 is 8923232.

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 20973468902400 + 58650600423424 = 4579680^2 + 7658368^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 79624069325824.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 228149195602 + ... + 228149195950.

Almost surely, 2^{79624069325824} is an apocalyptic number.

79624069325824 is the 8923232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79624069325824

79624069325824 is an abundant number, since it is smaller than the sum of its proper divisors (93630542542379).

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

79624069325824 is an frugal number, since it uses more digits than its factorization.

79624069325824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 67.

The spelling of 79624069325824 in words is "seventy-nine trillion, six hundred twenty-four billion, sixty-nine million, three hundred twenty-five thousand, eight hundred twenty-four".