675121809600 has 2016 divisors, whose sum is σ = 2996373219840. Its totient is φ = 140894208000.

The previous prime is 675121809581. The next prime is 675121809613. The reversal of 675121809600 is 6908121576.

675121809600 is a `hidden beast` number, since 67 + 512 + 18 + 0 + 9 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5153601535 + ... + 5153601665.

It is an arithmetic number, because the mean of its divisors is an integer number (1486296240).

Almost surely, 2^675121809600 is an apocalyptic number.

675121809600 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 675121809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498186609920).

675121809600 is an abundant number, since it is smaller than the sum of its proper divisors (2321251410240).

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

675121809600 is a wasteful number, since it uses less digits than its factorization.

675121809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 675121809600 in words is "six hundred seventy-five billion, one hundred twenty-one million, eight hundred nine thousand, six hundred".