6814225440 has 672 divisors, whose sum is σ = 27129344256. Its totient is φ = 1602478080.

The previous prime is 6814225427. The next prime is 6814225463. The reversal of 6814225440 is 445224186.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6814225395 and 6814225404.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 60302824 + ... + 60302936.

It is an arithmetic number, because the mean of its divisors is an integer number (40371048).

Almost surely, 2^6814225440 is an apocalyptic number.

6814225440 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 6814225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564672128).

6814225440 is an abundant number, since it is smaller than the sum of its proper divisors (20315118816).

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

6814225440 is a wasteful number, since it uses less digits than its factorization.

6814225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 6814225440 is about 82548.3218484785. The cubic root of 6814225440 is about 1895.8566627740.

The spelling of 6814225440 in words is "six billion, eight hundred fourteen million, two hundred twenty-five thousand, four hundred forty".