75681048821760 has 480 divisors, whose sum is σ = 277795174714200. Its totient is φ = 18994358648832.

The previous prime is 75681048821753. The next prime is 75681048821803. The reversal of 75681048821760 is 6712884018657.

It is a happy number.

75681048821760 is a `hidden beast` number, since 7 + 5 + 6 + 81 + 0 + 488 + 2 + 1 + 76 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73697142767616 + 1983906054144 = 8584704^2 + 1408512^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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 23 ways as a sum of consecutive naturals, for example, 400985974 + ... + 401174666.

Almost surely, 2^{75681048821760} 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 75681048821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138897587357100).

75681048821760 is an abundant number, since it is smaller than the sum of its proper divisors (202114125892440).

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

75681048821760 is an equidigital number, since it uses as much as digits as its factorization.

75681048821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188759 (or 188720 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 75681048821760 in words is "seventy-five trillion, six hundred eighty-one billion, forty-eight million, eight hundred twenty-one thousand, seven hundred sixty".