1681680446490 has 128 divisors (see below), whose sum is σ = 4441941504000. Its totient is φ = 404084989440.

The previous prime is 1681680446489. The next prime is 1681680446503. The reversal of 1681680446490 is 946440861861.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1681680446490.

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, 17222526 + ... + 17319894.

It is an arithmetic number, because the mean of its divisors is an integer number (34702668000).

Almost surely, 2^{1681680446490} is an apocalyptic number.

1681680446490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1681680446490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220970752000).

1681680446490 is an abundant number, since it is smaller than the sum of its proper divisors (2760261057510).

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

1681680446490 is a wasteful number, since it uses less digits than its factorization.

1681680446490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97852.

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 1681680446490 in words is "one trillion, six hundred eighty-one billion, six hundred eighty million, four hundred forty-six thousand, four hundred ninety".