675663209286912 has 2592 divisors, whose sum is σ = 2819579439366144. Its totient is φ = 152892201369600.

The previous prime is 675663209286911. The next prime is 675663209286953. The reversal of 675663209286912 is 219682902366576.

675663209286912 is a `hidden beast` number, since 6 + 7 + 5 + 6 + 6 + 320 + 9 + 286 + 9 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675663209286911) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15052514133 + ... + 15052559019.

It is an arithmetic number, because the mean of its divisors is an integer number (1087800709632).

Almost surely, 2^{675663209286912} is an apocalyptic number.

675663209286912 is a gapful number since it is divisible by the number (62) 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 675663209286912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409789719683072).

675663209286912 is an abundant number, since it is smaller than the sum of its proper divisors (2143916230079232).

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

675663209286912 is a wasteful number, since it uses less digits than its factorization.

675663209286912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45005 (or 44981 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 675663209286912 in words is "six hundred seventy-five trillion, six hundred sixty-three billion, two hundred nine million, two hundred eighty-six thousand, nine hundred twelve".