6806293920 has 384 divisors, whose sum is σ = 24638100480. Its totient is φ = 1775913984.

The previous prime is 6806293909. The next prime is 6806293937. The reversal of 6806293920 is 293926086.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18545577 + ... + 18545943.

It is an arithmetic number, because the mean of its divisors is an integer number (64161720).

Almost surely, 2^6806293920 is an apocalyptic number.

6806293920 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 6806293920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12319050240).

6806293920 is an abundant number, since it is smaller than the sum of its proper divisors (17831806560).

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

6806293920 is an equidigital number, since it uses as much as digits as its factorization.

6806293920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 6806293920 is about 82500.2661813888. The cubic root of 6806293920 is about 1895.1208069218.

The spelling of 6806293920 in words is "six billion, eight hundred six million, two hundred ninety-three thousand, nine hundred twenty".