1680290653824 has 48 divisors (see below), whose sum is σ = 4835211389970. Its totient is φ = 560096884224.

The previous prime is 1680290653801. The next prime is 1680290653859. The reversal of 1680290653824 is 4283560920861.

1680290653824 is a `hidden beast` number, since 1 + 6 + 80 + 2 + 9 + 0 + 6 + 538 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1277532878400 + 402757775424 = 1130280^2 + 634632^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 729291667 + ... + 729293970.

Almost surely, 2^{1680290653824} is an apocalyptic number.

It is an amenable number.

1680290653824 is an abundant number, since it is smaller than the sum of its proper divisors (3154920736146).

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

1680290653824 is a wasteful number, since it uses less digits than its factorization.

1680290653824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458585657 (or 1458585642 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 1680290653824 in words is "one trillion, six hundred eighty billion, two hundred ninety million, six hundred fifty-three thousand, eight hundred twenty-four".