75536423424 has 640 divisors, whose sum is σ = 288495820800. Its totient is φ = 18935562240.

The previous prime is 75536423423. The next prime is 75536423437. The reversal of 75536423424 is 42432463557.

75536423424 is a `hidden beast` number, since 7 + 55 + 364 + 234 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 75536423424.

It is not an unprimeable number, because it can be changed into a prime (75536423423) 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 63 ways as a sum of consecutive naturals, for example, 30867769 + ... + 30870215.

It is an arithmetic number, because the mean of its divisors is an integer number (450774720).

Almost surely, 2^75536423424 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 75536423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144247910400).

75536423424 is an abundant number, since it is smaller than the sum of its proper divisors (212959397376).

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

75536423424 is a wasteful number, since it uses less digits than its factorization.

75536423424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2499 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 45.

The spelling of 75536423424 in words is "seventy-five billion, five hundred thirty-six million, four hundred twenty-three thousand, four hundred twenty-four".