1680482934900 has 2160 divisors, whose sum is σ = 7239662381952. Its totient is φ = 333123840000.

The previous prime is 1680482934853. The next prime is 1680482934971. The reversal of 1680482934900 is 94392840861.

1680482934900 is a `hidden beast` number, since 1 + 68 + 0 + 4 + 8 + 2 + 93 + 490 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 16315368249 + ... + 16315368351.

Almost surely, 2^{1680482934900} is an apocalyptic number.

1680482934900 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 1680482934900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619831190976).

1680482934900 is an abundant number, since it is smaller than the sum of its proper divisors (5559179447052).

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

1680482934900 is a wasteful number, since it uses less digits than its factorization.

1680482934900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1680482934900 in words is "one trillion, six hundred eighty billion, four hundred eighty-two million, nine hundred thirty-four thousand, nine hundred".