675319680 has 320 divisors, whose sum is σ = 2757696480. Its totient is φ = 154275840.

The previous prime is 675319669. The next prime is 675319699. The reversal of 675319680 is 86913576.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 361950 + ... + 363810.

Almost surely, 2^675319680 is an apocalyptic number.

675319680 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 675319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378848240).

675319680 is an abundant number, since it is smaller than the sum of its proper divisors (2082376800).

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

675319680 is a wasteful number, since it uses less digits than its factorization.

675319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 675319680 is about 25986.9136297483. The cubic root of 675319680 is about 877.3437810881.

The spelling of 675319680 in words is "six hundred seventy-five million, three hundred nineteen thousand, six hundred eighty".