1681654560768 has 1440 divisors, whose sum is σ = 6346174161600. Its totient is φ = 426064084992.

The previous prime is 1681654560767. The next prime is 1681654560869. The reversal of 1681654560768 is 8670654561861.

1681654560768 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 6 + 5 + 4 + 560 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681654560767) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21286766553 + ... + 21286766631.

It is an arithmetic number, because the mean of its divisors is an integer number (4407065390).

Almost surely, 2^{1681654560768} is an apocalyptic number.

1681654560768 is a gapful number since it is divisible by the number (18) 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 1681654560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173087080800).

1681654560768 is an abundant number, since it is smaller than the sum of its proper divisors (4664519600832).

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

1681654560768 is an equidigital number, since it uses as much as digits as its factorization.

1681654560768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

It can be divided in two parts, 1681654 and 560768, that added together give a palindrome (2242422).

The spelling of 1681654560768 in words is "one trillion, six hundred eighty-one billion, six hundred fifty-four million, five hundred sixty thousand, seven hundred sixty-eight".