73016918016 has 480 divisors, whose sum is σ = 234035020800. Its totient is φ = 20230963200.

The previous prime is 73016917973. The next prime is 73016918071. The reversal of 73016918016 is 61081961037.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1028407261 + ... + 1028407331.

It is an arithmetic number, because the mean of its divisors is an integer number (487572960).

Almost surely, 2^73016918016 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 73016918016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117017510400).

73016918016 is an abundant number, since it is smaller than the sum of its proper divisors (161018102784).

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

73016918016 is an frugal number, since it uses more digits than its factorization.

73016918016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 73016918016 in words is "seventy-three billion, sixteen million, nine hundred eighteen thousand, sixteen".