73083413824200 has 2304 divisors, whose sum is σ = 301372710912000. Its totient is φ = 16288244121600.

The previous prime is 73083413824163. The next prime is 73083413824229. The reversal of 73083413824200 is 242831438037.

73083413824200 is a `hidden beast` number, since 7 + 3 + 0 + 8 + 3 + 413 + 8 + 24 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 66258760849 + ... + 66258761951.

It is an arithmetic number, because the mean of its divisors is an integer number (130804128000).

Almost surely, 2^{73083413824200} 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 73083413824200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150686355456000).

73083413824200 is an abundant number, since it is smaller than the sum of its proper divisors (228289297087800).

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

73083413824200 is a wasteful number, since it uses less digits than its factorization.

73083413824200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 73083413824200 in words is "seventy-three trillion, eighty-three billion, four hundred thirteen million, eight hundred twenty-four thousand, two hundred".