6768009000 has 512 divisors, whose sum is σ = 25159680000. Its totient is φ = 1678060800.

The previous prime is 6768008969. The next prime is 6768009007. The reversal of 6768009000 is 9008676.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6768009007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40526917 + ... + 40527083.

It is an arithmetic number, because the mean of its divisors is an integer number (49140000).

Almost surely, 2^6768009000 is an apocalyptic number.

6768009000 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 6768009000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840000).

6768009000 is an abundant number, since it is smaller than the sum of its proper divisors (18391671000).

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

6768009000 is a wasteful number, since it uses less digits than its factorization.

6768009000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6768009000 is about 82267.9099041662. The cubic root of 6768009000 is about 1891.5608170011.

The spelling of 6768009000 in words is "six billion, seven hundred sixty-eight million, nine thousand".