74352121344 has 320 divisors, whose sum is σ = 232572257280. Its totient is φ = 23698262016.

The previous prime is 74352121331. The next prime is 74352121439. The reversal of 74352121344 is 44312125347.

74352121344 is a `hidden beast` number, since 7 + 435 + 2 + 1 + 213 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74352121299 and 74352121308.

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 31 ways as a sum of consecutive naturals, for example, 25752669 + ... + 25755555.

It is an arithmetic number, because the mean of its divisors is an integer number (726788304).

Almost surely, 2^74352121344 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 74352121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116286128640).

74352121344 is an abundant number, since it is smaller than the sum of its proper divisors (158220135936).

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

74352121344 is an frugal number, since it uses more digits than its factorization.

74352121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2915 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The spelling of 74352121344 in words is "seventy-four billion, three hundred fifty-two million, one hundred twenty-one thousand, three hundred forty-four".