75506280832 has 64 divisors (see below), whose sum is σ = 152940525840. Its totient is φ = 37126389760.

The previous prime is 75506280823. The next prime is 75506280833. The reversal of 75506280832 is 23808260557.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×75506280832² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75506280833) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1856232 + ... + 1896472.

Almost surely, 2^75506280832 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 75506280832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76470262920).

75506280832 is an abundant number, since it is smaller than the sum of its proper divisors (77434245008).

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

75506280832 is a wasteful number, since it uses less digits than its factorization.

75506280832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40499 (or 40487 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 75506280832 in words is "seventy-five billion, five hundred six million, two hundred eighty thousand, eight hundred thirty-two".