74243852928 has 288 divisors, whose sum is σ = 249226354260. Its totient is φ = 21152710656.

The previous prime is 74243852873. The next prime is 74243852929. The reversal of 74243852928 is 82925834247.

74243852928 is a `hidden beast` number, since 74 + 2 + 43 + 8 + 529 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65983224384 + 8260628544 = 256872^2 + 90888^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74243852929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22408200 + ... + 22411512.

Almost surely, 2^74243852928 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 74243852928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124613177130).

74243852928 is an abundant number, since it is smaller than the sum of its proper divisors (174982501332).

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

74243852928 is a wasteful number, since it uses less digits than its factorization.

74243852928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3722 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 74243852928 in words is "seventy-four billion, two hundred forty-three million, eight hundred fifty-two thousand, nine hundred twenty-eight".