675321123576 has 256 divisors, whose sum is σ = 1894259727360. Its totient is φ = 198895656960.

The previous prime is 675321123487. The next prime is 675321123623.

675321123576 is nontrivially palindromic in base 10.

675321123576 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 928914525 + ... + 928915251.

It is an arithmetic number, because the mean of its divisors is an integer number (7399452060).

Almost surely, 2^675321123576 is an apocalyptic number.

675321123576 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675321123576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947129863680).

675321123576 is an abundant number, since it is smaller than the sum of its proper divisors (1218938603784).

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

675321123576 is a wasteful number, since it uses less digits than its factorization.

675321123576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1330 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 48.

It can be divided in two parts, 675321 and 123576, that added together give a palindrome (798897).

The spelling of 675321123576 in words is "six hundred seventy-five billion, three hundred twenty-one million, one hundred twenty-three thousand, five hundred seventy-six".