74431045200 has 240 divisors, whose sum is σ = 249401180160. Its totient is φ = 18938979840.

The previous prime is 74431045187. The next prime is 74431045219. The reversal of 74431045200 is 254013447.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12113329 + ... + 12119471.

It is an arithmetic number, because the mean of its divisors is an integer number (1039171584).

Almost surely, 2^74431045200 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 74431045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124700590080).

74431045200 is an abundant number, since it is smaller than the sum of its proper divisors (174970134960).

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

74431045200 is a wasteful number, since it uses less digits than its factorization.

74431045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6626 (or 6615 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

Adding to 74431045200 its reverse (254013447), we get a palindrome (74685058647).

The spelling of 74431045200 in words is "seventy-four billion, four hundred thirty-one million, forty-five thousand, two hundred".