68418886865280 has 1024 divisors, whose sum is σ = 267351869030400. Its totient is φ = 14527450054656.

The previous prime is 68418886865269. The next prime is 68418886865293. The reversal of 68418886865280 is 8256868881486.

It is a super-2 number, since 2×68418886865280² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (78) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 68418886865196 and 68418886865205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5716335136 + ... + 5716347104.

It is an arithmetic number, because the mean of its divisors is an integer number (261085809600).

Almost surely, 2^{68418886865280} is an apocalyptic number.

68418886865280 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 68418886865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133675934515200).

68418886865280 is an abundant number, since it is smaller than the sum of its proper divisors (198932982165120).

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

68418886865280 is a wasteful number, since it uses less digits than its factorization.

68418886865280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12339 (or 12327 counting only the distinct ones).

The product of its (nonzero) digits is 2264924160, while the sum is 78.

The spelling of 68418886865280 in words is "sixty-eight trillion, four hundred eighteen billion, eight hundred eighty-six million, eight hundred sixty-five thousand, two hundred eighty".