1683480389472 has 240 divisors, whose sum is σ = 5708445617952. Its totient is φ = 476737228800.

The previous prime is 1683480389467. The next prime is 1683480389473. The reversal of 1683480389472 is 2749830843861.

1683480389472 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 4 + 80 + 3 + 89 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683480389473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1639722 + ... + 2460822.

Almost surely, 2^{1683480389472} is an apocalyptic number.

1683480389472 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 1683480389472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854222808976).

1683480389472 is an abundant number, since it is smaller than the sum of its proper divisors (4024965228480).

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

1683480389472 is a wasteful number, since it uses less digits than its factorization.

1683480389472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821243 (or 821226 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 1683480389472 in words is "one trillion, six hundred eighty-three billion, four hundred eighty million, three hundred eighty-nine thousand, four hundred seventy-two".