675175680 has 432 divisors, whose sum is σ = 2525402880. Its totient is φ = 166182912.

The previous prime is 675175661. The next prime is 675175733. The reversal of 675175680 is 86571576.

675175680 is a `hidden beast` number, since 6 + 7 + 517 + 56 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14365417 + ... + 14365463.

It is an arithmetic number, because the mean of its divisors is an integer number (5845840).

Almost surely, 2^675175680 is an apocalyptic number.

675175680 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 675175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262701440).

675175680 is an abundant number, since it is smaller than the sum of its proper divisors (1850227200).

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

675175680 is a wasteful number, since it uses less digits than its factorization.

675175680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 675175680 is about 25984.1428567502. The cubic root of 675175680 is about 877.2814172975.

The spelling of 675175680 in words is "six hundred seventy-five million, one hundred seventy-five thousand, six hundred eighty".