8073234605568 has 640 divisors, whose sum is σ = 24789356951040. Its totient is φ = 2312110080000.

The previous prime is 8073234605567. The next prime is 8073234605669. The reversal of 8073234605568 is 8655064323708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8073234605567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7681478643 + ... + 7681479693.

It is an arithmetic number, because the mean of its divisors is an integer number (38733370236).

Almost surely, 2^{8073234605568} is an apocalyptic number.

8073234605568 is a gapful number since it is divisible by the number (88) 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 8073234605568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12394678475520).

8073234605568 is an abundant number, since it is smaller than the sum of its proper divisors (16716122345472).

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

8073234605568 is a wasteful number, since it uses less digits than its factorization.

8073234605568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 8073234605568 in words is "eight trillion, seventy-three billion, two hundred thirty-four million, six hundred five thousand, five hundred sixty-eight".