75681550636328 has 256 divisors, whose sum is σ = 193194060595200. Its totient is φ = 26937708134400.

The previous prime is 75681550636327. The next prime is 75681550636423. The reversal of 75681550636328 is 82363605518657.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75681550636327) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 35205401 + ... + 37293207.

It is an arithmetic number, because the mean of its divisors is an integer number (754664299200).

Almost surely, 2^{75681550636328} 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 75681550636328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96597030297600).

75681550636328 is an abundant number, since it is smaller than the sum of its proper divisors (117512509958872).

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

75681550636328 is a wasteful number, since it uses less digits than its factorization.

75681550636328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087980 (or 2087976 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 65.

The spelling of 75681550636328 in words is "seventy-five trillion, six hundred eighty-one billion, five hundred fifty million, six hundred thirty-six thousand, three hundred twenty-eight".