75126424464 has 405 divisors, whose sum is σ = 265896193329. Its totient is φ = 19734624000.

The previous prime is 75126424397. The next prime is 75126424501. The reversal of 75126424464 is 46442462157.

It is a happy number.

The square root of 75126424464 is 274092.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11113376400 + 64013048064 = 105420^2 + 253008^2 .

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 80 ways as a sum of consecutive naturals, for example, 299308339 + ... + 299308589.

Almost surely, 2^75126424464 is an apocalyptic number.

75126424464 is the 274092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75126424464

75126424464 is an abundant number, since it is smaller than the sum of its proper divisors (190769768865).

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

75126424464 is a wasteful number, since it uses less digits than its factorization.

75126424464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 276 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The spelling of 75126424464 in words is "seventy-five billion, one hundred twenty-six million, four hundred twenty-four thousand, four hundred sixty-four".