1782321677136 has 1280 divisors, whose sum is σ = 7231697141760. Its totient is φ = 408474316800.

The previous prime is 1782321677111. The next prime is 1782321677137. The reversal of 1782321677136 is 6317761232871.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1782321677137) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1203457516 + ... + 1203458996.

It is an arithmetic number, because the mean of its divisors is an integer number (5649763392).

Almost surely, 2^{1782321677136} is an apocalyptic number.

1782321677136 is a gapful number since it is divisible by the number (16) 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 1782321677136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615848570880).

1782321677136 is an abundant number, since it is smaller than the sum of its proper divisors (5449375464624).

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

1782321677136 is a wasteful number, since it uses less digits than its factorization.

1782321677136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 1540 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The spelling of 1782321677136 in words is "one trillion, seven hundred eighty-two billion, three hundred twenty-one million, six hundred seventy-seven thousand, one hundred thirty-six".