5079994260768 has 288 divisors, whose sum is σ = 17193144084480. Its totient is φ = 1445350314240.

The previous prime is 5079994260749. The next prime is 5079994260769. The reversal of 5079994260768 is 8670624999705.

5079994260768 is a `hidden beast` number, since 5 + 0 + 7 + 9 + 9 + 9 + 4 + 2 + 607 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5079994260696 and 5079994260705.

It is not an unprimeable number, because it can be changed into a prime (5079994260769) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12814003 + ... + 13204493.

It is an arithmetic number, because the mean of its divisors is an integer number (59698416960).

Almost surely, 2^{5079994260768} 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 5079994260768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8596572042240).

5079994260768 is an abundant number, since it is smaller than the sum of its proper divisors (12113149823712).

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

5079994260768 is a wasteful number, since it uses less digits than its factorization.

5079994260768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390762 (or 390742 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 5079994260768 in words is "five trillion, seventy-nine billion, nine hundred ninety-four million, two hundred sixty thousand, seven hundred sixty-eight".