675872142768096 has 192 divisors, whose sum is σ = 1861185151687680. Its totient is φ = 214503092766720.

The previous prime is 675872142768091. The next prime is 675872142768169. The reversal of 675872142768096 is 690867241278576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675872142768091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1038233235 + ... + 1038884013.

It is an arithmetic number, because the mean of its divisors is an integer number (9693672665040).

Almost surely, 2^{675872142768096} 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 675872142768096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930592575843840).

675872142768096 is an abundant number, since it is smaller than the sum of its proper divisors (1185313008919584).

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

675872142768096 is a wasteful number, since it uses less digits than its factorization.

675872142768096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657097 (or 657089 counting only the distinct ones).

The product of its (nonzero) digits is 3413975040, while the sum is 78.

The spelling of 675872142768096 in words is "six hundred seventy-five trillion, eight hundred seventy-two billion, one hundred forty-two million, seven hundred sixty-eight thousand, ninety-six".