675826583040 has 1920 divisors, whose sum is σ = 3019966709760. Its totient is φ = 136113094656.

The previous prime is 675826583023. The next prime is 675826583041. The reversal of 675826583040 is 40385628576.

675826583040 is a `hidden beast` number, since 6 + 7 + 58 + 2 + 6 + 583 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675826583041) 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 191 ways as a sum of consecutive naturals, for example, 3030612369 + ... + 3030612591.

It is an arithmetic number, because the mean of its divisors is an integer number (1572899328).

Almost surely, 2^675826583040 is an apocalyptic number.

675826583040 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 675826583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509983354880).

675826583040 is an abundant number, since it is smaller than the sum of its proper divisors (2344140126720).

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

675826583040 is a wasteful number, since it uses less digits than its factorization.

675826583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 675826583040 in words is "six hundred seventy-five billion, eight hundred twenty-six million, five hundred eighty-three thousand, forty".