79961618880 has 1792 divisors, whose sum is σ = 362787102720. Its totient is φ = 16482631680.

The previous prime is 79961618879. The next prime is 79961618881. The reversal of 79961618880 is 8881616997.

79961618880 is a `hidden beast` number, since 7 + 9 + 9 + 6 + 1 + 618 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79961618879) and next prime (79961618881).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79961618881) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 1701311017 + ... + 1701311063.

It is an arithmetic number, because the mean of its divisors is an integer number (202448160).

Almost surely, 2^79961618880 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 79961618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181393551360).

79961618880 is an abundant number, since it is smaller than the sum of its proper divisors (282825483840).

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

79961618880 is a wasteful number, since it uses less digits than its factorization.

79961618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 79961618880 in words is "seventy-nine billion, nine hundred sixty-one million, six hundred eighteen thousand, eight hundred eighty".