6814808280 has 288 divisors, whose sum is σ = 27121489200. Its totient is φ = 1475615232.

The previous prime is 6814808269. The next prime is 6814808303. The reversal of 6814808280 is 828084186.

It is a happy number.

It is a super-2 number, since 2×6814808280² = 92883223786313116800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 324994 + ... + 345326.

Almost surely, 2^6814808280 is an apocalyptic number.

6814808280 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 6814808280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13560744600).

6814808280 is an abundant number, since it is smaller than the sum of its proper divisors (20306680920).

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

6814808280 is a wasteful number, since it uses less digits than its factorization.

6814808280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20383 (or 20369 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 6814808280 is about 82551.8520688664. The cubic root of 6814808280 is about 1895.9107138962.

The spelling of 6814808280 in words is "six billion, eight hundred fourteen million, eight hundred eight thousand, two hundred eighty".