79044968448 has 256 divisors, whose sum is σ = 237310099200. Its totient is φ = 26324434944.

The previous prime is 79044968441. The next prime is 79044968467. The reversal of 79044968448 is 84486944097.

79044968448 is a `hidden beast` number, since 7 + 90 + 4 + 49 + 68 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is not an unprimeable number, because it can be changed into a prime (79044968441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71663065 + ... + 71664167.

It is an arithmetic number, because the mean of its divisors is an integer number (926992575).

Almost surely, 2^79044968448 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 79044968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118655049600).

79044968448 is an abundant number, since it is smaller than the sum of its proper divisors (158265130752).

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

79044968448 is an frugal number, since it uses more digits than its factorization.

79044968448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 79044968448 in words is "seventy-nine billion, forty-four million, nine hundred sixty-eight thousand, four hundred forty-eight".