6883793280 has 768 divisors, whose sum is σ = 30581591040. Its totient is φ = 1386823680.

The previous prime is 6883793263. The next prime is 6883793281. The reversal of 6883793280 is 823973886.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6883793281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12055395 + ... + 12055965.

It is an arithmetic number, because the mean of its divisors is an integer number (39819780).

Almost surely, 2^6883793280 is an apocalyptic number.

6883793280 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 6883793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15290795520).

6883793280 is an abundant number, since it is smaller than the sum of its proper divisors (23697797760).

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

6883793280 is a wasteful number, since it uses less digits than its factorization.

6883793280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 6883793280 is about 82968.6282880463. The cubic root of 6883793280 is about 1902.2865619908.

The spelling of 6883793280 in words is "six billion, eight hundred eighty-three million, seven hundred ninety-three thousand, two hundred eighty".