675279955200 has 432 divisors, whose sum is σ = 2326466541056. Its totient is φ = 172324454400.

The previous prime is 675279955199. The next prime is 675279955201. The reversal of 675279955200 is 2559972576.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (675279955199) and next prime (675279955201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675279955201) 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 47 ways as a sum of consecutive naturals, for example, 43326609 + ... + 43342191.

Almost surely, 2^675279955200 is an apocalyptic number.

675279955200 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 675279955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163233270528).

675279955200 is an abundant number, since it is smaller than the sum of its proper divisors (1651186585856).

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

675279955200 is a wasteful number, since it uses less digits than its factorization.

675279955200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15710 (or 15691 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 57.

The spelling of 675279955200 in words is "six hundred seventy-five billion, two hundred seventy-nine million, nine hundred fifty-five thousand, two hundred".