75568734720 has 360 divisors, whose sum is σ = 270509798988. Its totient is φ = 19495895040.

The previous prime is 75568734707. The next prime is 75568734739. The reversal of 75568734720 is 2743786557.

It is a happy number.

75568734720 is a `hidden beast` number, since 7 + 5 + 568 + 7 + 3 + 4 + 72 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72537571584 + 3031163136 = 269328^2 + 55056^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22139734 + ... + 22143146.

Almost surely, 2^75568734720 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 75568734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135254899494).

75568734720 is an abundant number, since it is smaller than the sum of its proper divisors (194941064268).

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

75568734720 is a wasteful number, since it uses less digits than its factorization.

75568734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 75568734720 in words is "seventy-five billion, five hundred sixty-eight million, seven hundred thirty-four thousand, seven hundred twenty".