1680334656 has 336 divisors, whose sum is σ = 6080760000. Its totient is φ = 402554880.

The previous prime is 1680334651. The next prime is 1680334679. The reversal of 1680334656 is 6564330861.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1680334656³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680334651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1344720 + ... + 1345968.

It is an arithmetic number, because the mean of its divisors is an integer number (18097500).

Almost surely, 2^1680334656 is an apocalyptic number.

1680334656 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 1680334656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040380000).

1680334656 is an abundant number, since it is smaller than the sum of its proper divisors (4400425344).

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

1680334656 is a wasteful number, since it uses less digits than its factorization.

1680334656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 1680334656 is about 40991.8852457410. The cubic root of 1680334656 is about 1188.8633205954.

The spelling of 1680334656 in words is "one billion, six hundred eighty million, three hundred thirty-four thousand, six hundred fifty-six".