1682012067372 has 384 divisors, whose sum is σ = 5779168819200. Its totient is φ = 410434117632.

The previous prime is 1682012067367. The next prime is 1682012067443. The reversal of 1682012067372 is 2737602102861.

1682012067372 is a `hidden beast` number, since 16 + 8 + 201 + 2 + 0 + 67 + 372 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9772168 + ... + 9942800.

It is an arithmetic number, because the mean of its divisors is an integer number (15049918800).

Almost surely, 2^{1682012067372} is an apocalyptic number.

1682012067372 is a gapful number since it is divisible by the number (12) 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 1682012067372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889584409600).

1682012067372 is an abundant number, since it is smaller than the sum of its proper divisors (4097156751828).

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

1682012067372 is a wasteful number, since it uses less digits than its factorization.

1682012067372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170742 (or 170734 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1682012067372 in words is "one trillion, six hundred eighty-two billion, twelve million, sixty-seven thousand, three hundred seventy-two".