1678982003712 has 352 divisors, whose sum is σ = 5366964778560. Its totient is φ = 515438346240.

The previous prime is 1678982003711. The next prime is 1678982003731. The reversal of 1678982003712 is 2173002898761.

It is a happy number.

1678982003712 is a `hidden beast` number, since 1 + 67 + 8 + 9 + 8 + 200 + 371 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1678982003711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165689398 + ... + 165699530.

It is an arithmetic number, because the mean of its divisors is an integer number (15247059030).

Almost surely, 2^{1678982003712} is an apocalyptic number.

1678982003712 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 1678982003712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683482389280).

1678982003712 is an abundant number, since it is smaller than the sum of its proper divisors (3687982774848).

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

1678982003712 is a wasteful number, since it uses less digits than its factorization.

1678982003712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10636 (or 10612 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 1678982003712 in words is "one trillion, six hundred seventy-eight billion, nine hundred eighty-two million, three thousand, seven hundred twelve".