79473074503680 has 2112 divisors, whose sum is σ = 336005948874240. Its totient is φ = 17666408448000.

The previous prime is 79473074503679. The next prime is 79473074503681. The reversal of 79473074503680 is 8630547037497.

79473074503680 is a `hidden beast` number, since 7 + 9 + 4 + 73 + 0 + 7 + 450 + 36 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (79473074503679) and next prime (79473074503681).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79473074503681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526311751605 + ... + 526311751755.

Almost surely, 2^{79473074503680} 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 79473074503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168002974437120).

79473074503680 is an abundant number, since it is smaller than the sum of its proper divisors (256532874370560).

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

79473074503680 is an equidigital number, since it uses as much as digits as its factorization.

79473074503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 79473074503680 in words is "seventy-nine trillion, four hundred seventy-three billion, seventy-four million, five hundred three thousand, six hundred eighty".