1832728297680 has 360 divisors, whose sum is σ = 7424977708512. Its totient is φ = 418909107456.

The previous prime is 1832728297649. The next prime is 1832728297693. The reversal of 1832728297680 is 867928272381.

1832728297680 is a `hidden beast` number, since 18 + 3 + 272 + 8 + 297 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9442 + ... + 1914561.

Almost surely, 2^{1832728297680} is an apocalyptic number.

1832728297680 is a gapful number since it is divisible by the number (10) 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 1832728297680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3712488854256).

1832728297680 is an abundant number, since it is smaller than the sum of its proper divisors (5592249410832).

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

1832728297680 is a wasteful number, since it uses less digits than its factorization.

1832728297680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924045 (or 1924020 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 1832728297680 in words is "one trillion, eight hundred thirty-two billion, seven hundred twenty-eight million, two hundred ninety-seven thousand, six hundred eighty".