75388324968 has 192 divisors, whose sum is σ = 230465592000. Its totient is φ = 22816632960.

The previous prime is 75388324939. The next prime is 75388324987. The reversal of 75388324968 is 86942388357.

75388324968 is a `hidden beast` number, since 7 + 5 + 388 + 3 + 249 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32119971 + ... + 32122317.

It is an arithmetic number, because the mean of its divisors is an integer number (1200341625).

Almost surely, 2^75388324968 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 75388324968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115232796000).

75388324968 is an abundant number, since it is smaller than the sum of its proper divisors (155077267032).

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

75388324968 is a wasteful number, since it uses less digits than its factorization.

75388324968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3613 (or 3592 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 75388324968 in words is "seventy-five billion, three hundred eighty-eight million, three hundred twenty-four thousand, nine hundred sixty-eight".