6782082436800 has 3360 divisors, whose sum is σ = 30424712693760. Its totient is φ = 1463132160000.

The previous prime is 6782082436643. The next prime is 6782082436807. The reversal of 6782082436800 is 86342802876.

6782082436800 is a `hidden beast` number, since 6 + 78 + 208 + 2 + 4 + 368 + 0 + 0 = 666.

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 (6782082436807) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 34426814302 + ... + 34426814498.

It is an arithmetic number, because the mean of its divisors is an integer number (9054974016).

Almost surely, 2^{6782082436800} is an apocalyptic number.

6782082436800 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 6782082436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15212356346880).

6782082436800 is an abundant number, since it is smaller than the sum of its proper divisors (23642630256960).

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

6782082436800 is a wasteful number, since it uses less digits than its factorization.

6782082436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 6782082436800 in words is "six trillion, seven hundred eighty-two billion, eighty-two million, four hundred thirty-six thousand, eight hundred".