75842249208 has 192 divisors, whose sum is σ = 224492083200. Its totient is φ = 21273542400.

The previous prime is 75842249143. The next prime is 75842249257. The reversal of 75842249208 is 80294224857.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2052238 + ... + 2088866.

It is an arithmetic number, because the mean of its divisors is an integer number (1169229600).

Almost surely, 2^75842249208 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 75842249208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112246041600).

75842249208 is an abundant number, since it is smaller than the sum of its proper divisors (148649833992).

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

75842249208 is a wasteful number, since it uses less digits than its factorization.

75842249208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36714 (or 36699 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 75842249208 in words is "seventy-five billion, eight hundred forty-two million, two hundred forty-nine thousand, two hundred eight".