75693794560 has 144 divisors (see below), whose sum is σ = 183561395472. Its totient is φ = 29904076800.

The previous prime is 75693794531. The next prime is 75693794591. The reversal of 75693794560 is 6549739657.

It can be written as a sum of positive squares in 8 ways, for example, as 22653862144 + 53039932416 = 150512^2 + 230304^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36372720 + ... + 36374800.

It is an arithmetic number, because the mean of its divisors is an integer number (1274731913).

Almost surely, 2^75693794560 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 75693794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91780697736).

75693794560 is an abundant number, since it is smaller than the sum of its proper divisors (107867600912).

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

75693794560 is a wasteful number, since it uses less digits than its factorization.

75693794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 61.

The spelling of 75693794560 in words is "seventy-five billion, six hundred ninety-three million, seven hundred ninety-four thousand, five hundred sixty".