75664133746025 has 48 divisors (see below), whose sum is σ = 108607769872128. Its totient is φ = 51679630464000.

The previous prime is 75664133745913. The next prime is 75664133746039. The reversal of 75664133746025 is 52064733146657.

It is not a de Polignac number, because 75664133746025 - 2⁸ = 75664133745769 is a prime.

It is a super-2 number, since 2×75664133746025² (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 (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15313706 + ... + 19642755.

It is an arithmetic number, because the mean of its divisors is an integer number (2262661872336).

Almost surely, 2^{75664133746025} is an apocalyptic number.

It is an amenable number.

75664133746025 is a deficient number, since it is larger than the sum of its proper divisors (32943636126103).

75664133746025 is a wasteful number, since it uses less digits than its factorization.

75664133746025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34956962 (or 34956957 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 59.

The spelling of 75664133746025 in words is "seventy-five trillion, six hundred sixty-four billion, one hundred thirty-three million, seven hundred forty-six thousand, twenty-five".