675735674880 has 896 divisors, whose sum is σ = 2627151667200. Its totient is φ = 144870211584.

The previous prime is 675735674857. The next prime is 675735674881. The reversal of 675735674880 is 88476537576.

It is a tau number, because it is divible by the number of its divisors (896).

It is not an unprimeable number, because it can be changed into a prime (675735674881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2827345801 + ... + 2827346039.

Almost surely, 2^675735674880 is an apocalyptic number.

675735674880 is a gapful number since it is divisible by the number (60) 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 675735674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313575833600).

675735674880 is an abundant number, since it is smaller than the sum of its proper divisors (1951415992320).

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

675735674880 is a wasteful number, since it uses less digits than its factorization.

675735674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 237081600, while the sum is 66.

The spelling of 675735674880 in words is "six hundred seventy-five billion, seven hundred thirty-five million, six hundred seventy-four thousand, eight hundred eighty".