6788628000 has 1152 divisors, whose sum is σ = 31399280640. Its totient is φ = 1347840000.

The previous prime is 6788627999. The next prime is 6788628001. The reversal of 6788628000 is 8268876.

It is an interprime number because it is at equal distance from previous prime (6788627999) and next prime (6788628001).

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

It is not an unprimeable number, because it can be changed into a prime (6788628001) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 85931961 + ... + 85932039.

It is an arithmetic number, because the mean of its divisors is an integer number (27256320).

Almost surely, 2^6788628000 is an apocalyptic number.

6788628000 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 6788628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15699640320).

6788628000 is an abundant number, since it is smaller than the sum of its proper divisors (24610652640).

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

6788628000 is a wasteful number, since it uses less digits than its factorization.

6788628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 6788628000 is about 82393.1307816374. The cubic root of 6788628000 is about 1893.4797738790.

The spelling of 6788628000 in words is "six billion, seven hundred eighty-eight million, six hundred twenty-eight thousand".