6782430412800 has 2040 divisors, whose sum is σ = 29498839260000. Its totient is φ = 1539865313280.

The previous prime is 6782430412783. The next prime is 6782430412801. The reversal of 6782430412800 is 82140342876.

It is a happy number.

6782430412800 is a `hidden beast` number, since 67 + 8 + 2 + 4 + 304 + 1 + 280 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6782430412801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 45519667126 + ... + 45519667274.

Almost surely, 2^{6782430412800} is an apocalyptic number.

6782430412800 is a gapful number since it is divisible by the number (60) 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 6782430412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14749419630000).

6782430412800 is an abundant number, since it is smaller than the sum of its proper divisors (22716408847200).

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

6782430412800 is an frugal number, since it uses more digits than its factorization.

6782430412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 6782430412800 in words is "six trillion, seven hundred eighty-two billion, four hundred thirty million, four hundred twelve thousand, eight hundred".