6782601450240 has 2592 divisors, whose sum is σ = 31239057024000. Its totient is φ = 1388210503680.

The previous prime is 6782601450211. The next prime is 6782601450259. The reversal of 6782601450240 is 420541062876.

6782601450240 is a `hidden beast` number, since 6 + 7 + 8 + 260 + 145 + 0 + 240 = 666.

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

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 16187592751 + ... + 16187593169.

Almost surely, 2^{6782601450240} is an apocalyptic number.

6782601450240 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 6782601450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619528512000).

6782601450240 is an abundant number, since it is smaller than the sum of its proper divisors (24456455573760).

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

6782601450240 is a wasteful number, since it uses less digits than its factorization.

6782601450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 6782601450240 in words is "six trillion, seven hundred eighty-two billion, six hundred one million, four hundred fifty thousand, two hundred forty".