75385671680 has 312 divisors, whose sum is σ = 205897167000. Its totient is φ = 26442465280.

The previous prime is 75385671671. The next prime is 75385671737. The reversal of 75385671680 is 8617658357.

It can be written as a sum of positive squares in 4 ways, for example, as 22065319936 + 53320351744 = 148544^2 + 230912^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71863796 + ... + 71864844.

Almost surely, 2^75385671680 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 75385671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102948583500).

75385671680 is an abundant number, since it is smaller than the sum of its proper divisors (130511495320).

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

75385671680 is a wasteful number, since it uses less digits than its factorization.

75385671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 56.

The spelling of 75385671680 in words is "seventy-five billion, three hundred eighty-five million, six hundred seventy-one thousand, six hundred eighty".