75082235904 has 460 divisors, whose sum is σ = 255785404644. Its totient is φ = 21743271936.

The previous prime is 75082235881. The next prime is 75082235911. The reversal of 75082235904 is 40953228057.

75082235904 is a `hidden beast` number, since 7 + 50 + 8 + 2 + 2 + 3 + 590 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33973862400 + 41108373504 = 184320^2 + 202752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 75082235904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4416602104 + ... + 4416602120.

Almost surely, 2^75082235904 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 75082235904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127892702322).

75082235904 is an abundant number, since it is smaller than the sum of its proper divisors (180703168740).

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

75082235904 is an frugal number, since it uses more digits than its factorization.

75082235904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 35 counting only the distinct ones).

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

The spelling of 75082235904 in words is "seventy-five billion, eighty-two million, two hundred thirty-five thousand, nine hundred four".