1688643012 has 192 divisors, whose sum is σ = 4902912000. Its totient is φ = 441687168.

The previous prime is 1688642971. The next prime is 1688643041. The reversal of 1688643012 is 2103468861.

It is a super-3 number, since 3×1688643012³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7438843 + ... + 7439069.

It is an arithmetic number, because the mean of its divisors is an integer number (25536000).

Almost surely, 2^1688643012 is an apocalyptic number.

1688643012 is a gapful number since it is divisible by the number (12) 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 1688643012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451456000).

1688643012 is an abundant number, since it is smaller than the sum of its proper divisors (3214268988).

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

1688643012 is a wasteful number, since it uses less digits than its factorization.

1688643012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 1688643012 is about 41093.1017568643. The cubic root of 1688643012 is about 1190.8195310422.

The spelling of 1688643012 in words is "one billion, six hundred eighty-eight million, six hundred forty-three thousand, twelve".