74405388800 has 90 divisors (see below), whose sum is σ = 184421655429. Its totient is φ = 29749811200.

The previous prime is 74405388787. The next prime is 74405388817. The reversal of 74405388800 is 888350447.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 72917281024 + 1488107776 = 270032^2 + 38576^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=192880.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 30859595 + ... + 30862005.

Almost surely, 2^74405388800 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 74405388800

74405388800 is an abundant number, since it is smaller than the sum of its proper divisors (110016266629).

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

74405388800 is an frugal number, since it uses more digits than its factorization.

74405388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 47.

The spelling of 74405388800 in words is "seventy-four billion, four hundred five million, three hundred eighty-eight thousand, eight hundred".