6803815366656 has 1280 divisors, whose sum is σ = 25632963544320. Its totient is φ = 1754325319680.

The previous prime is 6803815366583. The next prime is 6803815366687. The reversal of 6803815366656 is 6566635183086.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6803815366593 and 6803815366602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49662885820 + ... + 49662885956.

It is an arithmetic number, because the mean of its divisors is an integer number (20025752769).

Almost surely, 2^{6803815366656} is an apocalyptic number.

6803815366656 is a gapful number since it is divisible by the number (66) 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 6803815366656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12816481772160).

6803815366656 is an abundant number, since it is smaller than the sum of its proper divisors (18829148177664).

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

6803815366656 is an frugal number, since it uses more digits than its factorization.

6803815366656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 6803815366656 in words is "six trillion, eight hundred three billion, eight hundred fifteen million, three hundred sixty-six thousand, six hundred fifty-six".