75734090208 has 480 divisors, whose sum is σ = 271881308160. Its totient is φ = 20213867520.

The previous prime is 75734090059. The next prime is 75734090221. The reversal of 75734090208 is 80209043757.

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 79 ways as a sum of consecutive naturals, for example, 16309135 + ... + 16313777.

It is an arithmetic number, because the mean of its divisors is an integer number (566419392).

Almost surely, 2^75734090208 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 75734090208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135940654080).

75734090208 is an abundant number, since it is smaller than the sum of its proper divisors (196147217952).

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

75734090208 is a wasteful number, since it uses less digits than its factorization.

75734090208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4732 (or 4715 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 75734090208 in words is "seventy-five billion, seven hundred thirty-four million, ninety thousand, two hundred eight".