6814840320 has 480 divisors, whose sum is σ = 25370661888. Its totient is φ = 1684537344.

The previous prime is 6814840313. The next prime is 6814840327. The reversal of 6814840320 is 230484186.

It is an interprime number because it is at equal distance from previous prime (6814840313) and next prime (6814840327).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6814840327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49743292 + ... + 49743428.

Almost surely, 2^6814840320 is an apocalyptic number.

6814840320 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 6814840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12685330944).

6814840320 is an abundant number, since it is smaller than the sum of its proper divisors (18555821568).

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

6814840320 is a wasteful number, since it uses less digits than its factorization.

6814840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6814840320 is about 82552.0461284879. The cubic root of 6814840320 is about 1895.9136851162.

The spelling of 6814840320 in words is "six billion, eight hundred fourteen million, eight hundred forty thousand, three hundred twenty".