675053568000 has 1216 divisors, whose sum is σ = 2878964774400. Its totient is φ = 152882380800.

The previous prime is 675053567963. The next prime is 675053568017. The reversal of 675053568000 is 865350576.

675053568000 is a `hidden beast` number, since 6 + 7 + 50 + 535 + 68 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6193151946 + ... + 6193152054.

Almost surely, 2^675053568000 is an apocalyptic number.

675053568000 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 675053568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439482387200).

675053568000 is an abundant number, since it is smaller than the sum of its proper divisors (2203911206400).

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

675053568000 is an frugal number, since it uses more digits than its factorization.

675053568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 675053568000 in words is "six hundred seventy-five billion, fifty-three million, five hundred sixty-eight thousand".