75540427300 has 72 divisors (see below), whose sum is σ = 176725017000. Its totient is φ = 27861381120.

The previous prime is 75540427283. The next prime is 75540427343. The reversal of 75540427300 is 372404557.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 30476779776 + 45063647524 = 174576^2 + 212282^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 75540427300.

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 23 ways as a sum of consecutive naturals, for example, 1176426 + ... + 1238974.

It is an arithmetic number, because the mean of its divisors is an integer number (2454514125).

Almost surely, 2^75540427300 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 75540427300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88362508500).

75540427300 is an abundant number, since it is smaller than the sum of its proper divisors (101184589700).

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

75540427300 is a wasteful number, since it uses less digits than its factorization.

75540427300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63505 (or 63498 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 37.

The spelling of 75540427300 in words is "seventy-five billion, five hundred forty million, four hundred twenty-seven thousand, three hundred".