75509043480 has 512 divisors, whose sum is σ = 296926560000. Its totient is φ = 16888725504.

The previous prime is 75509043479. The next prime is 75509043517. The reversal of 75509043480 is 8434090557.

75509043480 is a `hidden beast` number, since 7 + 5 + 50 + 90 + 434 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 6916266 + ... + 6927174.

Almost surely, 2^75509043480 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 75509043480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148463280000).

75509043480 is an abundant number, since it is smaller than the sum of its proper divisors (221417516520).

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

75509043480 is a wasteful number, since it uses less digits than its factorization.

75509043480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10988 (or 10978 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 75509043480 in words is "seventy-five billion, five hundred nine million, forty-three thousand, four hundred eighty".