67800239415360 has 672 divisors, whose sum is σ = 258418845884160. Its totient is φ = 16238741815296.

The previous prime is 67800239415287. The next prime is 67800239415407. The reversal of 67800239415360 is 6351493200876.

67800239415360 is a `hidden beast` number, since 6 + 7 + 8 + 0 + 0 + 239 + 41 + 5 + 360 = 666.

67800239415360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 67800239415297 and 67800239415306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141978912 + ... + 142455648.

It is a 1-persistent number, because it is pandigital, but 2⋅67800239415360 = 135600478830720 is not.

Almost surely, 2^{67800239415360} is an apocalyptic number.

67800239415360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67800239415360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129209422942080).

67800239415360 is an abundant number, since it is smaller than the sum of its proper divisors (190618606468800).

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

67800239415360 is a wasteful number, since it uses less digits than its factorization.

67800239415360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476915 (or 476902 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 67800239415360 in words is "sixty-seven trillion, eight hundred billion, two hundred thirty-nine million, four hundred fifteen thousand, three hundred sixty".