1682730749700 has 2592 divisors, whose sum is σ = 7812658846720. Its totient is φ = 304850304000.

The previous prime is 1682730749671. The next prime is 1682730749717. The reversal of 1682730749700 is 79470372861.

1682730749700 is a `hidden beast` number, since 1 + 6 + 82 + 73 + 0 + 7 + 497 + 0 + 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 polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 5083778535 + ... + 5083778865.

Almost surely, 2^{1682730749700} is an apocalyptic number.

1682730749700 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 1682730749700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3906329423360).

1682730749700 is an abundant number, since it is smaller than the sum of its proper divisors (6129928097020).

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

1682730749700 is a wasteful number, since it uses less digits than its factorization.

1682730749700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 1682730749700 in words is "one trillion, six hundred eighty-two billion, seven hundred thirty million, seven hundred forty-nine thousand, seven hundred".