675786384 has 180 divisors, whose sum is σ = 2341088256. Its totient is φ = 178184448.

The previous prime is 675786379. The next prime is 675786421. The reversal of 675786384 is 483687576.

675786384 = 417² + 418² + ... + 1280².

675786384 is a `hidden beast` number, since 6 + 7 + 578 + 63 + 8 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 675786384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 168369 + ... + 172335.

Almost surely, 2^675786384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675786384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170544128).

675786384 is an abundant number, since it is smaller than the sum of its proper divisors (1665301872).

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

675786384 is a wasteful number, since it uses less digits than its factorization.

675786384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 3992 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 675786384 is about 25995.8916754167. The cubic root of 675786384 is about 877.5458412266.

The spelling of 675786384 in words is "six hundred seventy-five million, seven hundred eighty-six thousand, three hundred eighty-four".