68386456320 has 1152 divisors, whose sum is σ = 284823060480. Its totient is φ = 13598392320.

The previous prime is 68386456253. The next prime is 68386456321. The reversal of 68386456320 is 2365468386.

It is not an unprimeable number, because it can be changed into a prime (68386456321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 639125707 + ... + 639125813.

It is an arithmetic number, because the mean of its divisors is an integer number (247242240).

Almost surely, 2^68386456320 is an apocalyptic number.

68386456320 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 68386456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142411530240).

68386456320 is an abundant number, since it is smaller than the sum of its proper divisors (216436604160).

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

68386456320 is a wasteful number, since it uses less digits than its factorization.

68386456320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 68386456320 in words is "sixty-eight billion, three hundred eighty-six million, four hundred fifty-six thousand, three hundred twenty".