1680032001024 has 528 divisors, whose sum is σ = 5516898849280. Its totient is φ = 488148664320.

The previous prime is 1680032001001. The next prime is 1680032001041. The reversal of 1680032001024 is 4201002300861.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835420179 + ... + 835422189.

Almost surely, 2^{1680032001024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680032001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758449424640).

1680032001024 is an abundant number, since it is smaller than the sum of its proper divisors (3836866848256).

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

1680032001024 is a wasteful number, since it uses less digits than its factorization.

1680032001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1680032001024 its reverse (4201002300861), we get a palindrome (5881034301885).

The spelling of 1680032001024 in words is "one trillion, six hundred eighty billion, thirty-two million, one thousand, twenty-four".