1680606244800 has 1008 divisors, whose sum is σ = 7032367667520. Its totient is φ = 372624261120.

The previous prime is 1680606244777. The next prime is 1680606244847. The reversal of 1680606244800 is 84426060861.

1680606244800 is a `hidden beast` number, since 16 + 8 + 0 + 6 + 0 + 624 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2077386796 + ... + 2077387604.

Almost surely, 2^{1680606244800} is an apocalyptic number.

1680606244800 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 1680606244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516183833760).

1680606244800 is an abundant number, since it is smaller than the sum of its proper divisors (5351761422720).

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

1680606244800 is a wasteful number, since it uses less digits than its factorization.

1680606244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1680606244800 in words is "one trillion, six hundred eighty billion, six hundred six million, two hundred forty-four thousand, eight hundred".