78179289936384 has 960 divisors, whose sum is σ = 272036662824960. Its totient is φ = 19481355878400.

The previous prime is 78179289936287. The next prime is 78179289936427. The reversal of 78179289936384 is 48363998297187.

It is a happy number.

78179289936384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×78179289936384² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a junction number, because it is equal to n+sod(n) for n = 78179289936297 and 78179289936306.

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 95 ways as a sum of consecutive naturals, for example, 13844390649 + ... + 13844396295.

It is an arithmetic number, because the mean of its divisors is an integer number (283371523776).

Almost surely, 2^{78179289936384} 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 78179289936384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136018331412480).

78179289936384 is an abundant number, since it is smaller than the sum of its proper divisors (193857372888576).

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

78179289936384 is a wasteful number, since it uses less digits than its factorization.

78179289936384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6121 (or 6092 counting only the distinct ones).

The product of its digits is 7900913664, while the sum is 84.

The spelling of 78179289936384 in words is "seventy-eight trillion, one hundred seventy-nine billion, two hundred eighty-nine million, nine hundred thirty-six thousand, three hundred eighty-four".