75903404609536 has 117 divisors (see below), whose sum is σ = 176579117824959. Its totient is φ = 32528357793792.

The previous prime is 75903404609443. The next prime is 75903404609561. The reversal of 75903404609536 is 63590640430957.

It is a happy number.

The square root of 75903404609536 is 8712256.

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

It is a super-2 number, since 2×75903404609536² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 3903080965 + ... + 3903100411.

Almost surely, 2^{75903404609536} is an apocalyptic number.

75903404609536 is the 8712256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75903404609536

75903404609536 is an abundant number, since it is smaller than the sum of its proper divisors (100675713215423).

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

75903404609536 is an frugal number, since it uses more digits than its factorization.

75903404609536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38932 (or 19456 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 61.

The spelling of 75903404609536 in words is "seventy-five trillion, nine hundred three billion, four hundred four million, six hundred nine thousand, five hundred thirty-six".