75664433446656 has 144 divisors (see below), whose sum is σ = 201972172120320. Its totient is φ = 25147090575360.

The previous prime is 75664433446649. The next prime is 75664433446687. The reversal of 75664433446656 is 65664433446657.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631619341 + ... + 631739123.

Almost surely, 2^{75664433446656} 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 75664433446656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100986086060160).

75664433446656 is an abundant number, since it is smaller than the sum of its proper divisors (126307738673664).

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

75664433446656 is a wasteful number, since it uses less digits than its factorization.

75664433446656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122222 (or 122208 counting only the distinct ones).

The product of its digits is 3135283200, while the sum is 69.

Subtracting from 75664433446656 its reverse (65664433446657), we obtain a palindrome (9999999999999).

The spelling of 75664433446656 in words is "seventy-five trillion, six hundred sixty-four billion, four hundred thirty-three million, four hundred forty-six thousand, six hundred fifty-six".