79065735655680 has 432 divisors, whose sum is σ = 283743879007680. Its totient is φ = 21080268693504.

The previous prime is 79065735655639. The next prime is 79065735655747. The reversal of 79065735655680 is 8655653756097.

79065735655680 is a `hidden beast` number, since 7 + 9 + 0 + 6 + 5 + 7 + 3 + 56 + 5 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 79065735655599 and 79065735655608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1920029331 + ... + 1920070509.

It is an arithmetic number, because the mean of its divisors is an integer number (656814534740).

Almost surely, 2^{79065735655680} 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 79065735655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141871939503840).

79065735655680 is an abundant number, since it is smaller than the sum of its proper divisors (204678143352000).

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

79065735655680 is an equidigital number, since it uses as much as digits as its factorization.

79065735655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47388 (or 47362 counting only the distinct ones).

The product of its (nonzero) digits is 1428840000, while the sum is 72.

The spelling of 79065735655680 in words is "seventy-nine trillion, sixty-five billion, seven hundred thirty-five million, six hundred fifty-five thousand, six hundred eighty".