75834092416 has 128 divisors (see below), whose sum is σ = 160097731200. Its totient is φ = 35721412608.

The previous prime is 75834092413. The next prime is 75834092447. The reversal of 75834092416 is 61429043857.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 75834092416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75834092413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103456786 + ... + 103457518.

It is an arithmetic number, because the mean of its divisors is an integer number (1250763525).

It is a 1-persistent number, because it is pandigital, but 2⋅75834092416 = 151668184832 is not.

Almost surely, 2^75834092416 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 75834092416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80048865600).

75834092416 is an abundant number, since it is smaller than the sum of its proper divisors (84263638784).

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

75834092416 is a wasteful number, since it uses less digits than its factorization.

75834092416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 75834092416 in words is "seventy-five billion, eight hundred thirty-four million, ninety-two thousand, four hundred sixteen".