1680336832680 has 768 divisors, whose sum is σ = 6381450915840. Its totient is φ = 379369267200.

The previous prime is 1680336832661. The next prime is 1680336832693. The reversal of 1680336832680 is 862386330861.

1680336832680 is a `hidden beast` number, since 16 + 8 + 0 + 3 + 368 + 3 + 268 + 0 = 666.

It is a super-2 number, since 2×1680336832680² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1907305840 + ... + 1907306720.

It is an arithmetic number, because the mean of its divisors is an integer number (8309180880).

Almost surely, 2^{1680336832680} is an apocalyptic number.

1680336832680 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 1680336832680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3190725457920).

1680336832680 is an abundant number, since it is smaller than the sum of its proper divisors (4701114083160).

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

1680336832680 is a wasteful number, since it uses less digits than its factorization.

1680336832680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1680336832680 in words is "one trillion, six hundred eighty billion, three hundred thirty-six million, eight hundred thirty-two thousand, six hundred eighty".