1782734041506 has 96 divisors (see below), whose sum is σ = 4054644486144. Its totient is φ = 521612863200.

The previous prime is 1782734041499. The next prime is 1782734041513. The reversal of 1782734041506 is 6051404372871.

It is an interprime number because it is at equal distance from previous prime (1782734041499) and next prime (1782734041513).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9880755 + ... + 10059561.

It is an arithmetic number, because the mean of its divisors is an integer number (42235880064).

Almost surely, 2^{1782734041506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1782734041506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027322243072).

1782734041506 is an abundant number, since it is smaller than the sum of its proper divisors (2271910444638).

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

1782734041506 is a wasteful number, since it uses less digits than its factorization.

1782734041506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179308 (or 179297 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 1782734041506 in words is "one trillion, seven hundred eighty-two billion, seven hundred thirty-four million, forty-one thousand, five hundred six".