73806224371200 has 1440 divisors, whose sum is σ = 290038167619200. Its totient is φ = 18535435960320.

The previous prime is 73806224371193. The next prime is 73806224371261. The reversal of 73806224371200 is 217342260837.

73806224371200 is a `hidden beast` number, since 7 + 3 + 8 + 0 + 6 + 2 + 2 + 437 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10223881191 + ... + 10223888409.

It is an arithmetic number, because the mean of its divisors is an integer number (201415394180).

Almost surely, 2^{73806224371200} 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 73806224371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145019083809600).

73806224371200 is an abundant number, since it is smaller than the sum of its proper divisors (216231943248000).

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

73806224371200 is a wasteful number, since it uses less digits than its factorization.

73806224371200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7454 (or 7421 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 73806224371200 in words is "seventy-three trillion, eight hundred six billion, two hundred twenty-four million, three hundred seventy-one thousand, two hundred".