79218946080 has 240 divisors, whose sum is σ = 281049398784. Its totient is φ = 21013793280.

The previous prime is 79218946073. The next prime is 79218946087. The reversal of 79218946080 is 8064981297.

79218946080 is a `hidden beast` number, since 7 + 9 + 21 + 8 + 9 + 4 + 608 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79218946073) and next prime (79218946087).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (79218946087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2459359 + ... + 2491361.

Almost surely, 2^79218946080 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 79218946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140524699392).

79218946080 is an abundant number, since it is smaller than the sum of its proper divisors (201830452704).

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

79218946080 is a wasteful number, since it uses less digits than its factorization.

79218946080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32221 (or 32204 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 79218946080 in words is "seventy-nine billion, two hundred eighteen million, nine hundred forty-six thousand, eighty".