6788407360 has 224 divisors, whose sum is σ = 19790542080. Its totient is φ = 2164850688.

The previous prime is 6788407303. The next prime is 6788407391. The reversal of 6788407360 is 637048876.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3388119 + ... + 3390121.

Almost surely, 2^6788407360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6788407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9895271040).

6788407360 is an abundant number, since it is smaller than the sum of its proper divisors (13002134720).

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

6788407360 is a wasteful number, since it uses less digits than its factorization.

6788407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The square root of 6788407360 is about 82391.7918241860. The cubic root of 6788407360 is about 1893.4592600676.

The spelling of 6788407360 in words is "six billion, seven hundred eighty-eight million, four hundred seven thousand, three hundred sixty".