73216309690224 has 480 divisors, whose sum is σ = 226674075264000. Its totient is φ = 22811556897792.

The previous prime is 73216309690207. The next prime is 73216309690247. The reversal of 73216309690224 is 42209690361237.

73216309690224 is a `hidden beast` number, since 7 + 3 + 21 + 6 + 309 + 6 + 90 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9740093314 + ... + 9740100830.

It is an arithmetic number, because the mean of its divisors is an integer number (472237656800).

Almost surely, 2^{73216309690224} 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 73216309690224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113337037632000).

73216309690224 is an abundant number, since it is smaller than the sum of its proper divisors (153457765573776).

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

73216309690224 is a wasteful number, since it uses less digits than its factorization.

73216309690224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9307 (or 9289 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 73216309690224 in words is "seventy-three trillion, two hundred sixteen billion, three hundred nine million, six hundred ninety thousand, two hundred twenty-four".