675987379200 has 990 divisors, whose sum is σ = 2912209129566. Its totient is φ = 154488176640.

The previous prime is 675987379187. The next prime is 675987379201. The reversal of 675987379200 is 2973789576.

675987379200 is a `hidden beast` number, since 6 + 7 + 59 + 8 + 7 + 379 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2747437056 + 673239942144 = 52416^2 + 820512^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675987379201) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 101603074 + ... + 101609726.

Almost surely, 2^675987379200 is an apocalyptic number.

675987379200 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 675987379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456104564783).

675987379200 is an abundant number, since it is smaller than the sum of its proper divisors (2236221750366).

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

675987379200 is a wasteful number, since it uses less digits than its factorization.

675987379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6709 (or 6670 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 675987379200 in words is "six hundred seventy-five billion, nine hundred eighty-seven million, three hundred seventy-nine thousand, two hundred".