675765504 has 288 divisors, whose sum is σ = 2172199680. Its totient is φ = 209018880.

The previous prime is 675765481. The next prime is 675765547. The reversal of 675765504 is 405567576.

675765504 is a `hidden beast` number, since 6 + 75 + 76 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 675765504.

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 31 ways as a sum of consecutive naturals, for example, 9517789 + ... + 9517859.

It is an arithmetic number, because the mean of its divisors is an integer number (7542360).

Almost surely, 2^675765504 is an apocalyptic number.

675765504 is a gapful number since it is divisible by the number (64) 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 675765504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086099840).

675765504 is an abundant number, since it is smaller than the sum of its proper divisors (1496434176).

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

675765504 is an frugal number, since it uses more digits than its factorization.

675765504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The square root of 675765504 is about 25995.4900703949. The cubic root of 675765504 is about 877.5368031901.

The spelling of 675765504 in words is "six hundred seventy-five million, seven hundred sixty-five thousand, five hundred four".