75742164096 has 256 divisors, whose sum is σ = 213857280000. Its totient is φ = 23712768000.

The previous prime is 75742164083. The next prime is 75742164097. The reversal of 75742164096 is 69046124757.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (75742164097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151787655 + ... + 151788153.

It is an arithmetic number, because the mean of its divisors is an integer number (835380000).

Almost surely, 2^75742164096 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 75742164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106928640000).

75742164096 is an abundant number, since it is smaller than the sum of its proper divisors (138115115904).

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

75742164096 is a wasteful number, since it uses less digits than its factorization.

75742164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 75742164096 in words is "seventy-five billion, seven hundred forty-two million, one hundred sixty-four thousand, ninety-six".