670279680 has 288 divisors, whose sum is σ = 2657491200. Its totient is φ = 153059328.

The previous prime is 670279669. The next prime is 670279681. The reversal of 670279680 is 86972076.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (670279681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 644601 + ... + 645639.

It is an arithmetic number, because the mean of its divisors is an integer number (9227400).

Almost surely, 2^670279680 is an apocalyptic number.

670279680 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 670279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328745600).

670279680 is an abundant number, since it is smaller than the sum of its proper divisors (1987211520).

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

670279680 is a wasteful number, since it uses less digits than its factorization.

670279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 670279680 is about 25889.7601379387. The cubic root of 670279680 is about 875.1557513220.

The spelling of 670279680 in words is "six hundred seventy million, two hundred seventy-nine thousand, six hundred eighty".