875649946578 has 96 divisors (see below), whose sum is σ = 1975618252608. Its totient is φ = 258405396480.

The previous prime is 875649946573. The next prime is 875649946583.

875649946578 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (875649946573) and next prime (875649946583).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (875649946573) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10478850 + ... + 10562082.

It is an arithmetic number, because the mean of its divisors is an integer number (20579356798).

Almost surely, 2^875649946578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 875649946578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987809126304).

875649946578 is an abundant number, since it is smaller than the sum of its proper divisors (1099968306030).

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

875649946578 is a wasteful number, since it uses less digits than its factorization.

875649946578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83640 (or 83629 counting only the distinct ones).

The product of its digits is 3657830400, while the sum is 78.

The spelling of 875649946578 in words is "eight hundred seventy-five billion, six hundred forty-nine million, nine hundred forty-six thousand, five hundred seventy-eight".