675395521920 has 1344 divisors, whose sum is σ = 2909945139840. Its totient is φ = 149239480320.

The previous prime is 675395521909. The next prime is 675395521921. The reversal of 675395521920 is 29125593576.

675395521920 is a `hidden beast` number, since 6 + 7 + 5 + 3 + 95 + 521 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×675395521920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675395521921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 708704164 + ... + 708705116.

Almost surely, 2^675395521920 is an apocalyptic number.

675395521920 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 675395521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454972569920).

675395521920 is an abundant number, since it is smaller than the sum of its proper divisors (2234549617920).

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

675395521920 is an equidigital number, since it uses as much as digits as its factorization.

675395521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 675395521920 in words is "six hundred seventy-five billion, three hundred ninety-five million, five hundred twenty-one thousand, nine hundred twenty".