1683540183864 has 384 divisors, whose sum is σ = 5587867192320. Its totient is φ = 417534566400.

The previous prime is 1683540183839. The next prime is 1683540183869. The reversal of 1683540183864 is 4683810453861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683540183869) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24893904 + ... + 24961440.

It is an arithmetic number, because the mean of its divisors is an integer number (14551737480).

Almost surely, 2^{1683540183864} is an apocalyptic number.

1683540183864 is a gapful number since it is divisible by the number (14) 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 1683540183864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793933596160).

1683540183864 is an abundant number, since it is smaller than the sum of its proper divisors (3904327008456).

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

1683540183864 is a wasteful number, since it uses less digits than its factorization.

1683540183864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67659 (or 67648 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 1683540183864 in words is "one trillion, six hundred eighty-three billion, five hundred forty million, one hundred eighty-three thousand, eight hundred sixty-four".