675011326003200 has 1152 divisors, whose sum is σ = 2566306308384000. Its totient is φ = 173703050035200.

The previous prime is 675011326003193. The next prime is 675011326003219. The reversal of 675011326003200 is 2300623110576.

675011326003200 is a `hidden beast` number, since 6 + 7 + 5 + 0 + 1 + 1 + 326 + 0 + 0 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106117168020 + ... + 106117174380.

It is an arithmetic number, because the mean of its divisors is an integer number (2227696448250).

Almost surely, 2^{675011326003200} is an apocalyptic number.

675011326003200 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 675011326003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283153154192000).

675011326003200 is an abundant number, since it is smaller than the sum of its proper divisors (1891294982380800).

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

675011326003200 is a wasteful number, since it uses less digits than its factorization.

675011326003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9078 (or 9047 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 675011326003200 its reverse (2300623110576), we get a palindrome (677311949113776).

The spelling of 675011326003200 in words is "six hundred seventy-five trillion, eleven billion, three hundred twenty-six million, three thousand, two hundred".