75669008346 has 96 divisors (see below), whose sum is σ = 175408571520. Its totient is φ = 23491786752.

The previous prime is 75669008339. The next prime is 75669008381. The reversal of 75669008346 is 64380096657.

It is a junction number, because it is equal to n+sod(n) for n = 75669008292 and 75669008301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28456365 + ... + 28459023.

It is an arithmetic number, because the mean of its divisors is an integer number (1827172620).

Almost surely, 2^75669008346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75669008346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87704285760).

75669008346 is an abundant number, since it is smaller than the sum of its proper divisors (99739563174).

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

75669008346 is a wasteful number, since it uses less digits than its factorization.

75669008346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 75669008346 in words is "seventy-five billion, six hundred sixty-nine million, eight thousand, three hundred forty-six".