6807793093920 has 1344 divisors, whose sum is σ = 31241846119680. Its totient is φ = 1360730824704.

The previous prime is 6807793093897. The next prime is 6807793093957. The reversal of 6807793093920 is 293903977086.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 201653682 + ... + 201687438.

It is an arithmetic number, because the mean of its divisors is an integer number (23245421220).

Almost surely, 2^{6807793093920} is an apocalyptic number.

6807793093920 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 6807793093920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15620923059840).

6807793093920 is an abundant number, since it is smaller than the sum of its proper divisors (24434053025760).

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

6807793093920 is a wasteful number, since it uses less digits than its factorization.

6807793093920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33829 (or 33806 counting only the distinct ones).

The product of its (nonzero) digits is 30862944, while the sum is 63.

The spelling of 6807793093920 in words is "six trillion, eight hundred seven billion, seven hundred ninety-three million, ninety-three thousand, nine hundred twenty".