75904539472224 has 144 divisors (see below), whose sum is σ = 235629589366080. Its totient is φ = 23969854523520.

The previous prime is 75904539472147. The next prime is 75904539472283. The reversal of 75904539472224 is 42227493540957.

It is a happy number.

75904539472224 is a `hidden beast` number, since 7 + 5 + 9 + 0 + 4 + 539 + 4 + 72 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×75904539472224² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256730842 + ... + 257026329.

It is an arithmetic number, because the mean of its divisors is an integer number (1636316592820).

Almost surely, 2^{75904539472224} is an apocalyptic number.

It is an amenable number.

75904539472224 is an abundant number, since it is smaller than the sum of its proper divisors (159725049893856).

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

75904539472224 is a wasteful number, since it uses less digits than its factorization.

75904539472224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513757215 (or 513757195 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 75904539472224 in words is "seventy-five trillion, nine hundred four billion, five hundred thirty-nine million, four hundred seventy-two thousand, two hundred twenty-four".