6788330640 has 1080 divisors, whose sum is σ = 30876883128. Its totient is φ = 1323786240.

The previous prime is 6788330611. The next prime is 6788330657. The reversal of 6788330640 is 460338876.

It can be written as a sum of positive squares in 4 ways, for example, as 163021824 + 6625308816 = 12768^2 + 81396^2 .

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 215 ways as a sum of consecutive naturals, for example, 165569020 + ... + 165569060.

Almost surely, 2^6788330640 is an apocalyptic number.

6788330640 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 6788330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15438441564).

6788330640 is an abundant number, since it is smaller than the sum of its proper divisors (24088552488).

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

6788330640 is a wasteful number, since it uses less digits than its factorization.

6788330640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6788330640 is about 82391.3262425117. The cubic root of 6788330640 is about 1893.4521269884.

The spelling of 6788330640 in words is "six billion, seven hundred eighty-eight million, three hundred thirty thousand, six hundred forty".