79944754728960 has 624 divisors, whose sum is σ = 309673104144768. Its totient is φ = 18907830681600.

The previous prime is 79944754728953. The next prime is 79944754729181. The reversal of 79944754728960 is 6982745744997.

79944754728960 is a `hidden beast` number, since 7 + 9 + 9 + 4 + 4 + 7 + 5 + 472 + 89 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 79944754728960.

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 47 ways as a sum of consecutive naturals, for example, 82647469 + ... + 83609171.

It is an arithmetic number, because the mean of its divisors is an integer number (496271000232).

Almost surely, 2^{79944754728960} 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 79944754728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154836552072384).

79944754728960 is an abundant number, since it is smaller than the sum of its proper divisors (229728349415808).

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

79944754728960 is a wasteful number, since it uses less digits than its factorization.

79944754728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961790 (or 961765 counting only the distinct ones).

The product of its (nonzero) digits is 7681443840, while the sum is 81.

The spelling of 79944754728960 in words is "seventy-nine trillion, nine hundred forty-four billion, seven hundred fifty-four million, seven hundred twenty-eight thousand, nine hundred sixty".