1783540618272 has 1152 divisors, whose sum is σ = 6589352851200. Its totient is φ = 466195709952.

The previous prime is 1783540618259. The next prime is 1783540618273. The reversal of 1783540618272 is 2728160453871.

1783540618272 is a `hidden beast` number, since 1 + 7 + 8 + 354 + 0 + 6 + 18 + 272 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1783540618273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4360734804 + ... + 4360735212.

It is an arithmetic number, because the mean of its divisors is an integer number (5719924350).

Almost surely, 2^{1783540618272} is an apocalyptic number.

1783540618272 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 1783540618272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294676425600).

1783540618272 is an abundant number, since it is smaller than the sum of its proper divisors (4805812232928).

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

1783540618272 is a wasteful number, since it uses less digits than its factorization.

1783540618272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1783540618272 in words is "one trillion, seven hundred eighty-three billion, five hundred forty million, six hundred eighteen thousand, two hundred seventy-two".