75338297856 has 160 divisors (see below), whose sum is σ = 223233331200. Its totient is φ = 25087242240.

The previous prime is 75338297833. The next prime is 75338297873. The reversal of 75338297856 is 65879283357.

75338297856 is a `hidden beast` number, since 7 + 5 + 338 + 297 + 8 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 75338297793 and 75338297802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17678766 + ... + 17683026.

It is an arithmetic number, because the mean of its divisors is an integer number (1395208320).

Almost surely, 2^75338297856 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 75338297856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111616665600).

75338297856 is an abundant number, since it is smaller than the sum of its proper divisors (147895033344).

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

75338297856 is a wasteful number, since it uses less digits than its factorization.

75338297856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567 (or 5545 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 75338297856 in words is "seventy-five billion, three hundred thirty-eight million, two hundred ninety-seven thousand, eight hundred fifty-six".