74417241600 has 1440 divisors, whose sum is σ = 315831035520. Its totient is φ = 16562257920.

The previous prime is 74417241557. The next prime is 74417241601. The reversal of 74417241600 is 614271447.

It is a happy number.

74417241600 is a `hidden beast` number, since 7 + 4 + 4 + 1 + 7 + 2 + 41 + 600 = 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74417241601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 941990361 + ... + 941990439.

It is an arithmetic number, because the mean of its divisors is an integer number (219327108).

Almost surely, 2^74417241600 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 74417241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157915517760).

74417241600 is an abundant number, since it is smaller than the sum of its proper divisors (241413793920).

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

74417241600 is a wasteful number, since it uses less digits than its factorization.

74417241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 74417241600 in words is "seventy-four billion, four hundred seventeen million, two hundred forty-one thousand, six hundred".