68048773816320 has 2688 divisors, whose sum is σ = 283669871966208. Its totient is φ = 15485711155200.

The previous prime is 68048773816271. The next prime is 68048773816321. The reversal of 68048773816320 is 2361837784086.

68048773816320 is a `hidden beast` number, since 6 + 8 + 0 + 487 + 73 + 8 + 1 + 63 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (68048773816321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153608970019 + ... + 153608970461.

It is an arithmetic number, because the mean of its divisors is an integer number (105531946416).

Almost surely, 2^{68048773816320} is an apocalyptic number.

68048773816320 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 68048773816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141834935983104).

68048773816320 is an abundant number, since it is smaller than the sum of its proper divisors (215621098149888).

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

68048773816320 is a wasteful number, since it uses less digits than its factorization.

68048773816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 68048773816320 in words is "sixty-eight trillion, forty-eight billion, seven hundred seventy-three million, eight hundred sixteen thousand, three hundred twenty".