68820472320 has 320 divisors, whose sum is σ = 223619616000. Its totient is φ = 18053922816.

The previous prime is 68820472289. The next prime is 68820472351. The reversal of 68820472320 is 2327402886.

It is an interprime number because it is at equal distance from previous prime (68820472289) and next prime (68820472351).

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191700301 + ... + 191700659.

It is an arithmetic number, because the mean of its divisors is an integer number (698811300).

Almost surely, 2^68820472320 is an apocalyptic number.

68820472320 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 68820472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111809808000).

68820472320 is an abundant number, since it is smaller than the sum of its proper divisors (154799143680).

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

68820472320 is a wasteful number, since it uses less digits than its factorization.

68820472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 68820472320 in words is "sixty-eight billion, eight hundred twenty million, four hundred seventy-two thousand, three hundred twenty".