1679330016 has 576 divisors, whose sum is σ = 6375075840. Its totient is φ = 420526080.

The previous prime is 1679329987. The next prime is 1679330021. The reversal of 1679330016 is 6100339761.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31685446 + ... + 31685498.

It is an arithmetic number, because the mean of its divisors is an integer number (11067840).

Almost surely, 2^1679330016 is an apocalyptic number.

1679330016 is a gapful number since it is divisible by the number (16) 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 1679330016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187537920).

1679330016 is an abundant number, since it is smaller than the sum of its proper divisors (4695745824).

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

1679330016 is a wasteful number, since it uses less digits than its factorization.

1679330016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 1679330016 is about 40979.6292809000. The cubic root of 1679330016 is about 1188.6263404690.

Adding to 1679330016 its reverse (6100339761), we get a palindrome (7779669777).

The spelling of 1679330016 in words is "one billion, six hundred seventy-nine million, three hundred thirty thousand, sixteen".