1680326000640 has 2280 divisors, whose sum is σ = 7810576068240. Its totient is φ = 342456532992.

The previous prime is 1680326000611. The next prime is 1680326000653. The reversal of 1680326000640 is 460006230861.

1680326000640 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 3 + 2 + 6 + 0 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1680326000595 and 1680326000604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 88438210551 + ... + 88438210569.

It is an arithmetic number, because the mean of its divisors is an integer number (3425691258).

Almost surely, 2^{1680326000640} is an apocalyptic number.

1680326000640 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 1680326000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3905288034120).

1680326000640 is an abundant number, since it is smaller than the sum of its proper divisors (6130250067600).

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

1680326000640 is an frugal number, since it uses more digits than its factorization.

1680326000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1680326000640 in words is "one trillion, six hundred eighty billion, three hundred twenty-six million, six hundred forty", and thus it is an aban number.