1680180350976 has 468 divisors, whose sum is σ = 5096981723392. Its totient is φ = 553708929024.

The previous prime is 1680180350971. The next prime is 1680180350999. The reversal of 1680180350976 is 6790530810861.

1680180350976 is a `hidden beast` number, since 1 + 68 + 0 + 1 + 8 + 0 + 3 + 509 + 76 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680180350971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2768006865 + ... + 2768007471.

Almost surely, 2^{1680180350976} is an apocalyptic number.

1680180350976 is a gapful number since it is divisible by the number (16) 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 1680180350976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548490861696).

1680180350976 is an abundant number, since it is smaller than the sum of its proper divisors (3416801372416).

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

1680180350976 is an frugal number, since it uses more digits than its factorization.

1680180350976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1680180350976 in words is "one trillion, six hundred eighty billion, one hundred eighty million, three hundred fifty thousand, nine hundred seventy-six".