6781380019200 has 792 divisors, whose sum is σ = 24897748906368. Its totient is φ = 1762845327360.

The previous prime is 6781380019171. The next prime is 6781380019217. The reversal of 6781380019200 is 29100831876.

6781380019200 is a `hidden beast` number, since 6 + 7 + 81 + 380 + 0 + 192 + 0 + 0 = 666.

It is a super-2 number, since 2×6781380019200² (a number of 26 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1990423897 + ... + 1990427303.

Almost surely, 2^{6781380019200} is an apocalyptic number.

6781380019200 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 6781380019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12448874453184).

6781380019200 is an abundant number, since it is smaller than the sum of its proper divisors (18116368887168).

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

6781380019200 is a wasteful number, since it uses less digits than its factorization.

6781380019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3659 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 6781380019200 in words is "six trillion, seven hundred eighty-one billion, three hundred eighty million, nineteen thousand, two hundred".