68218560480 has 288 divisors, whose sum is σ = 252317794176. Its totient is φ = 15446516736.

The previous prime is 68218560439. The next prime is 68218560491. The reversal of 68218560480 is 8406581286.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 2503087 + ... + 2530193.

It is an arithmetic number, because the mean of its divisors is an integer number (876103452).

Almost surely, 2^68218560480 is an apocalyptic number.

68218560480 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 68218560480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126158897088).

68218560480 is an abundant number, since it is smaller than the sum of its proper divisors (184099233696).

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

68218560480 is a wasteful number, since it uses less digits than its factorization.

68218560480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27246 (or 27231 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The spelling of 68218560480 in words is "sixty-eight billion, two hundred eighteen million, five hundred sixty thousand, four hundred eighty".