675855558576 has 240 divisors, whose sum is σ = 2243835947808. Its totient is φ = 187547443200.

The previous prime is 675855558557. The next prime is 675855558607.

675855558576 is a `hidden beast` number, since 67 + 5 + 8 + 5 + 5 + 558 + 5 + 7 + 6 = 666.

675855558576 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657166 + ... + 1335506.

Almost surely, 2^675855558576 is an apocalyptic number.

675855558576 is a gapful number since it is divisible by the number (66) 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 675855558576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121917973904).

675855558576 is an abundant number, since it is smaller than the sum of its proper divisors (1567980389232).

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

675855558576 is a wasteful number, since it uses less digits than its factorization.

675855558576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678420 (or 678411 counting only the distinct ones).

The product of its digits is 1764000000, while the sum is 72.

The spelling of 675855558576 in words is "six hundred seventy-five billion, eight hundred fifty-five million, five hundred fifty-eight thousand, five hundred seventy-six".