675846720 has 448 divisors, whose sum is σ = 2633472000. Its totient is φ = 162404352.

The previous prime is 675846719. The next prime is 675846727. The reversal of 675846720 is 27648576.

675846720 is a `hidden beast` number, since 6 + 7 + 584 + 67 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675846727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3775591 + ... + 3775769.

Almost surely, 2^675846720 is an apocalyptic number.

675846720 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 675846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316736000).

675846720 is an abundant number, since it is smaller than the sum of its proper divisors (1957625280).

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

675846720 is a wasteful number, since it uses less digits than its factorization.

675846720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 675846720 is about 25997.0521405793. The cubic root of 675846720 is about 877.5719569891.

The spelling of 675846720 in words is "six hundred seventy-five million, eight hundred forty-six thousand, seven hundred twenty".