75968385712128 has 3264 divisors, whose sum is σ = 307785745612800. Its totient is φ = 18162426839040.

The previous prime is 75968385712103. The next prime is 75968385712129. The reversal of 75968385712128 is 82121758386957.

75968385712128 is a `hidden beast` number, since 7 + 5 + 9 + 6 + 8 + 3 + 8 + 571 + 21 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75968385712129) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 853577367508 + ... + 853577367596.

Almost surely, 2^{75968385712128} is an apocalyptic number.

75968385712128 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75968385712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153892872806400).

75968385712128 is an abundant number, since it is smaller than the sum of its proper divisors (231817359900672).

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

75968385712128 is an equidigital number, since it uses as much as digits as its factorization.

75968385712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 164 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 72.

The spelling of 75968385712128 in words is "seventy-five trillion, nine hundred sixty-eight billion, three hundred eighty-five million, seven hundred twelve thousand, one hundred twenty-eight".