1680318150336 has 448 divisors, whose sum is σ = 5910652339200. Its totient is φ = 457943334912.

The previous prime is 1680318150311. The next prime is 1680318150383. The reversal of 1680318150336 is 6330518130861.

1680318150336 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 31 + 81 + 503 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 1680318150291 and 1680318150300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29086216 + ... + 29143928.

It is an arithmetic number, because the mean of its divisors is an integer number (13193420400).

Almost surely, 2^{1680318150336} is an apocalyptic number.

1680318150336 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 1680318150336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955326169600).

1680318150336 is an abundant number, since it is smaller than the sum of its proper divisors (4230334188864).

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

1680318150336 is a wasteful number, since it uses less digits than its factorization.

1680318150336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57853 (or 57837 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1680318150336 in words is "one trillion, six hundred eighty billion, three hundred eighteen million, one hundred fifty thousand, three hundred thirty-six".