74436994800 has 360 divisors, whose sum is σ = 300795060384. Its totient is φ = 16692848640.

The previous prime is 74436994789. The next prime is 74436994847. The reversal of 74436994800 is 849963447.

It is a happy number.

74436994800 is a `hidden beast` number, since 7 + 44 + 36 + 99 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1307734 + ... + 1363466.

Almost surely, 2^74436994800 is an apocalyptic number.

74436994800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74436994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150397530192).

74436994800 is an abundant number, since it is smaller than the sum of its proper divisors (226358065584).

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

74436994800 is a wasteful number, since it uses less digits than its factorization.

74436994800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55817 (or 55803 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 74436994800 in words is "seventy-four billion, four hundred thirty-six million, nine hundred ninety-four thousand, eight hundred".