73022309197768 has 256 divisors, whose sum is σ = 170446540032000. Its totient is φ = 28661709275136.

The previous prime is 73022309197763. The next prime is 73022309197771. The reversal of 73022309197768 is 86779190322037.

73022309197768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (73022309197763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 725752648 + ... + 725853256.

It is an arithmetic number, because the mean of its divisors is an integer number (665806797000).

Almost surely, 2^{73022309197768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73022309197768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85223270016000).

73022309197768 is an abundant number, since it is smaller than the sum of its proper divisors (97424230834232).

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

73022309197768 is a wasteful number, since it uses less digits than its factorization.

73022309197768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100992 (or 100988 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 64.

The spelling of 73022309197768 in words is "seventy-three trillion, twenty-two billion, three hundred nine million, one hundred ninety-seven thousand, seven hundred sixty-eight".