73820399616 has 288 divisors, whose sum is σ = 235586594880. Its totient is φ = 22150250496.

The previous prime is 73820399579. The next prime is 73820399621. The reversal of 73820399616 is 61699302837.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7201791 + ... + 7212033.

It is an arithmetic number, because the mean of its divisors is an integer number (818009010).

Almost surely, 2^73820399616 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 73820399616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117793297440).

73820399616 is an abundant number, since it is smaller than the sum of its proper divisors (161766195264).

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

73820399616 is a wasteful number, since it uses less digits than its factorization.

73820399616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10311 (or 10288 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 73820399616 in words is "seventy-three billion, eight hundred twenty million, three hundred ninety-nine thousand, six hundred sixteen".