73973620224 has 320 divisors, whose sum is σ = 251032742400. Its totient is φ = 21069103104.

The previous prime is 73973620223. The next prime is 73973620229. The reversal of 73973620224 is 42202637937.

73973620224 is a `hidden beast` number, since 7 + 397 + 36 + 2 + 0 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 73973620224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73973620223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36674064 + ... + 36676080.

It is an arithmetic number, because the mean of its divisors is an integer number (784477320).

Almost surely, 2^73973620224 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 73973620224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125516371200).

73973620224 is an abundant number, since it is smaller than the sum of its proper divisors (177059122176).

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

73973620224 is a wasteful number, since it uses less digits than its factorization.

73973620224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 73973620224 in words is "seventy-three billion, nine hundred seventy-three million, six hundred twenty thousand, two hundred twenty-four".