75144480768 has 864 divisors, whose sum is σ = 276736824000. Its totient is φ = 19508428800.

The previous prime is 75144480743. The next prime is 75144480773. The reversal of 75144480768 is 86708444157.

75144480768 is a `hidden beast` number, since 7 + 51 + 44 + 480 + 76 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 497645493 + ... + 497645643.

It is an arithmetic number, because the mean of its divisors is an integer number (320297250).

Almost surely, 2^75144480768 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 75144480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138368412000).

75144480768 is an abundant number, since it is smaller than the sum of its proper divisors (201592343232).

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

75144480768 is a wasteful number, since it uses less digits than its factorization.

75144480768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 75144480768 in words is "seventy-five billion, one hundred forty-four million, four hundred eighty thousand, seven hundred sixty-eight".