68719234322304 has 256 divisors, whose sum is σ = 216292579776000. Its totient is φ = 21403872387072.

The previous prime is 68719234322267. The next prime is 68719234322309. The reversal of 68719234322304 is 40322343291786.

It is a happy number.

68719234322304 is a `hidden beast` number, since 6 + 8 + 7 + 1 + 9 + 2 + 3 + 4 + 322 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68719234322309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3959157 + ... + 12373899.

It is an arithmetic number, because the mean of its divisors is an integer number (844892889750).

Almost surely, 2^{68719234322304} is an apocalyptic number.

68719234322304 is a gapful number since it is divisible by the number (64) 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 68719234322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108146289888000).

68719234322304 is an abundant number, since it is smaller than the sum of its proper divisors (147573345453696).

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

68719234322304 is a wasteful number, since it uses less digits than its factorization.

68719234322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8414922 (or 8414904 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 68719234322304 in words is "sixty-eight trillion, seven hundred nineteen billion, two hundred thirty-four million, three hundred twenty-two thousand, three hundred four".