6781635197568 has 2304 divisors, whose sum is σ = 27752564736000. Its totient is φ = 1596307046400.

The previous prime is 6781635197563. The next prime is 6781635197581. The reversal of 6781635197568 is 8657915361876.

6781635197568 is a `hidden beast` number, since 6 + 7 + 8 + 1 + 6 + 3 + 51 + 9 + 7 + 568 = 666.

It is a super-2 number, since 2×6781635197568² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (457228800) is a multiple of the sum of its prime divisors (270).

It is a junction number, because it is equal to n+sod(n) for n = 6781635197496 and 6781635197505.

It is not an unprimeable number, because it can be changed into a prime (6781635197563) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34078568733 + ... + 34078568931.

It is an arithmetic number, because the mean of its divisors is an integer number (12045384000).

Almost surely, 2^{6781635197568} is an apocalyptic number.

6781635197568 is a gapful number since it is divisible by the number (68) 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 6781635197568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13876282368000).

6781635197568 is an abundant number, since it is smaller than the sum of its proper divisors (20970929538432).

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

6781635197568 is a wasteful number, since it uses less digits than its factorization.

6781635197568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 270 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 72.

The spelling of 6781635197568 in words is "six trillion, seven hundred eighty-one billion, six hundred thirty-five million, one hundred ninety-seven thousand, five hundred sixty-eight".