75345837768 has 192 divisors, whose sum is σ = 224368522560. Its totient is φ = 23606194176.

The previous prime is 75345837761. The next prime is 75345837769. The reversal of 75345837768 is 86773854357.

75345837768 is a `hidden beast` number, since 7 + 53 + 458 + 3 + 77 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (75345837761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42399696 + ... + 42401472.

It is an arithmetic number, because the mean of its divisors is an integer number (1168586055).

Almost surely, 2^75345837768 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 75345837768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112184261280).

75345837768 is an abundant number, since it is smaller than the sum of its proper divisors (149022684792).

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

75345837768 is a wasteful number, since it uses less digits than its factorization.

75345837768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3082 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 75345837768 in words is "seventy-five billion, three hundred forty-five million, eight hundred thirty-seven thousand, seven hundred sixty-eight".