1683689317632 has 864 divisors, whose sum is σ = 6171166310400. Its totient is φ = 446870421504.

The previous prime is 1683689317627. The next prime is 1683689317669. The reversal of 1683689317632 is 2367139863861.

1683689317632 is a `hidden beast` number, since 16 + 8 + 368 + 93 + 176 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1683689317632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 584815969 + ... + 584818847.

It is an arithmetic number, because the mean of its divisors is an integer number (7142553600).

Almost surely, 2^{1683689317632} is an apocalyptic number.

1683689317632 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 1683689317632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085583155200).

1683689317632 is an abundant number, since it is smaller than the sum of its proper divisors (4487476992768).

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

1683689317632 is an equidigital number, since it uses as much as digits as its factorization.

1683689317632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3013 (or 2987 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 1683689317632 in words is "one trillion, six hundred eighty-three billion, six hundred eighty-nine million, three hundred seventeen thousand, six hundred thirty-two".