75758254164 has 144 divisors (see below), whose sum is σ = 204998124240. Its totient is φ = 23506452480.

The previous prime is 75758254163. The next prime is 75758254211. The reversal of 75758254164 is 46145285757.

It is a happy number.

75758254164 is a `hidden beast` number, since 7 + 5 + 7 + 582 + 54 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 960380100 + 74797874064 = 30990^2 + 273492^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 75758254164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75758254163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44328142 + ... + 44329850.

It is an arithmetic number, because the mean of its divisors is an integer number (1423598085).

Almost surely, 2^75758254164 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 75758254164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102499062120).

75758254164 is an abundant number, since it is smaller than the sum of its proper divisors (129239870076).

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

75758254164 is a wasteful number, since it uses less digits than its factorization.

75758254164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2485 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 54.

The spelling of 75758254164 in words is "seventy-five billion, seven hundred fifty-eight million, two hundred fifty-four thousand, one hundred sixty-four".