79823364480 has 192 divisors, whose sum is σ = 276788603520. Its totient is φ = 21197537280.

The previous prime is 79823364431. The next prime is 79823364487. The reversal of 79823364480 is 8446332897.

79823364480 is a `hidden beast` number, since 79 + 8 + 2 + 33 + 64 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79823364487) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1359409 + ... + 1416911.

It is an arithmetic number, because the mean of its divisors is an integer number (1441607310).

Almost surely, 2^79823364480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79823364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138394301760).

79823364480 is an abundant number, since it is smaller than the sum of its proper divisors (196965239040).

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

79823364480 is a wasteful number, since it uses less digits than its factorization.

79823364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57769 (or 57754 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 79823364480 in words is "seventy-nine billion, eight hundred twenty-three million, three hundred sixty-four thousand, four hundred eighty".