1680016486680 has 640 divisors, whose sum is σ = 6571780807680. Its totient is φ = 376984212480.

The previous prime is 1680016486663. The next prime is 1680016486703. The reversal of 1680016486680 is 866846100861.

1680016486680 is a `hidden beast` number, since 1 + 6 + 80 + 0 + 1 + 6 + 486 + 6 + 80 = 666.

It is a super-2 number, since 2×1680016486680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1088797989 + ... + 1088799531.

It is an arithmetic number, because the mean of its divisors is an integer number (10268407512).

Almost surely, 2^{1680016486680} is an apocalyptic number.

1680016486680 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 1680016486680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285890403840).

1680016486680 is an abundant number, since it is smaller than the sum of its proper divisors (4891764321000).

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

1680016486680 is a wasteful number, since it uses less digits than its factorization.

1680016486680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1680016486680 in words is "one trillion, six hundred eighty billion, sixteen million, four hundred eighty-six thousand, six hundred eighty".