6883320249600 has 216 divisors, whose sum is σ = 22797249965952. Its totient is φ = 1829018419200.

The previous prime is 6883320249593. The next prime is 6883320249623. The reversal of 6883320249600 is 69420233886.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4757289 + ... + 6033111.

Almost surely, 2^{6883320249600} is an apocalyptic number.

6883320249600 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 6883320249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11398624982976).

6883320249600 is an abundant number, since it is smaller than the sum of its proper divisors (15913929716352).

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

6883320249600 is a wasteful number, since it uses less digits than its factorization.

6883320249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276133 (or 1276114 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 6883320249600 in words is "six trillion, eight hundred eighty-three billion, three hundred twenty million, two hundred forty-nine thousand, six hundred".