78180418584576 has 2736 divisors, whose sum is σ = 312882066483840. Its totient is φ = 19423706480640.

The previous prime is 78180418584563. The next prime is 78180418584577. The reversal of 78180418584576 is 67548581408187.

78180418584576 is a `hidden beast` number, since 7 + 8 + 1 + 8 + 0 + 41 + 8 + 5 + 8 + 4 + 576 = 666.

It is a super-2 number, since 2×78180418584576² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78180418584577) 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 143 ways as a sum of consecutive naturals, for example, 3399148634101 + ... + 3399148634123.

It is an arithmetic number, because the mean of its divisors is an integer number (114357480440).

Almost surely, 2^{78180418584576} 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 78180418584576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156441033241920).

78180418584576 is an abundant number, since it is smaller than the sum of its proper divisors (234701647899264).

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

78180418584576 is an frugal number, since it uses more digits than its factorization.

78180418584576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 481689600, while the sum is 72.

The spelling of 78180418584576 in words is "seventy-eight trillion, one hundred eighty billion, four hundred eighteen million, five hundred eighty-four thousand, five hundred seventy-six".