75532504320 has 1728 divisors, whose sum is σ = 347622589440. Its totient is φ = 15383789568.

The previous prime is 75532504309. The next prime is 75532504339. The reversal of 75532504320 is 2340523557.

75532504320 is a `hidden beast` number, since 7 + 5 + 5 + 325 + 0 + 4 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1034691804 + ... + 1034691876.

It is an arithmetic number, because the mean of its divisors is an integer number (201170480).

Almost surely, 2^75532504320 is an apocalyptic number.

75532504320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75532504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173811294720).

75532504320 is an abundant number, since it is smaller than the sum of its proper divisors (272090085120).

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

75532504320 is a wasteful number, since it uses less digits than its factorization.

75532504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The spelling of 75532504320 in words is "seventy-five billion, five hundred thirty-two million, five hundred four thousand, three hundred twenty".