79746689617920 has 1872 divisors, whose sum is σ = 313959629273472. Its totient is φ = 19323377418240.

The previous prime is 79746689617877. The next prime is 79746689617981. The reversal of 79746689617920 is 2971698664797.

79746689617920 is a `hidden beast` number, since 7 + 9 + 7 + 466 + 8 + 9 + 61 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 79746689617920.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 124022845119 + ... + 124022845761.

It is an arithmetic number, because the mean of its divisors is an integer number (167713477176).

Almost surely, 2^{79746689617920} 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 79746689617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156979814636736).

79746689617920 is an abundant number, since it is smaller than the sum of its proper divisors (234212939655552).

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

79746689617920 is an frugal number, since it uses more digits than its factorization.

79746689617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 3456649728, while the sum is 81.

The spelling of 79746689617920 in words is "seventy-nine trillion, seven hundred forty-six billion, six hundred eighty-nine million, six hundred seventeen thousand, nine hundred twenty".