6788101320 has 1440 divisors, whose sum is σ = 32714953920. Its totient is φ = 1245404160.

The previous prime is 6788101319. The next prime is 6788101321. The reversal of 6788101320 is 231018876.

It is an interprime number because it is at equal distance from previous prime (6788101319) and next prime (6788101321).

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 (6788101321) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 295134829 + ... + 295134851.

It is an arithmetic number, because the mean of its divisors is an integer number (22718718).

Almost surely, 2^6788101320 is an apocalyptic number.

6788101320 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 6788101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16357476960).

6788101320 is an abundant number, since it is smaller than the sum of its proper divisors (25926852600).

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

6788101320 is a wasteful number, since it uses less digits than its factorization.

6788101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 6788101320 is about 82389.9345794133. The cubic root of 6788101320 is about 1893.4308055298.

The spelling of 6788101320 in words is "six billion, seven hundred eighty-eight million, one hundred one thousand, three hundred twenty".