1679670720 has 1008 divisors, whose sum is σ = 7831287360. Its totient is φ = 322043904.

The previous prime is 1679670719. The next prime is 1679670731. The reversal of 1679670720 is 270769761.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 57919666 + ... + 57919694.

Almost surely, 2^1679670720 is an apocalyptic number.

1679670720 is a gapful number since it is divisible by the number (10) 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 1679670720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915643680).

1679670720 is an abundant number, since it is smaller than the sum of its proper divisors (6151616640).

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

1679670720 is a wasteful number, since it uses less digits than its factorization.

1679670720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 1679670720 is about 40983.7860622954. The cubic root of 1679670720 is about 1188.7067182310.

The spelling of 1679670720 in words is "one billion, six hundred seventy-nine million, six hundred seventy thousand, seven hundred twenty".